Statically typed languages generally require you to declare the types of variables, which is then checked at compile time to reduce errors. The word "static" in "statically typed" refers to "static code analysis", which is the process of examining the code prior to executing it. Although it is possible for a statically typed language to infer the type of the variable from the right hand side of an expression or actual parameters, in practice most statically typed languages require variable types to be explicitly declared.

Dynamically typed languages generally do not require variable declarations to have types, and they infer variable types based on the type calculated as a result of evaluating the right hand side of every assignment statement or the actual parameters to a function call. Since the variable can be given multiple assignments over its lifetime, its type can change over time and this is why it is called "dynamically typed". Also, the runtime environment needs to keep track of the current type for each variable, so the type is bound to the value rather than with the variable declaration. This can be considered a runtime type information (RTTI) system.

静态类型语言和动态类型语言的元素可以组合。例如，c#既支持静态类型变量，也支持动态类型变量，而面向对象语言通常支持类型层次结构的向下转换。静态类型语言通常提供各种绕过类型检查的方法，例如使用强制转换、反射和动态调用。

强类型和弱类型指的是语言在多大程度上试图防止由于使用变量而导致的错误，就好像它是一种类型，而实际上它是另一种类型。例如，C和Java都是静态类型语言，但是Java使用了比C强大得多的类型检查。下面的C代码很容易编译和运行，并会在运行时将一个随机值放入变量b中，很可能会导致错误:

char *a = "123";
int b = (int)a;

等效的Java代码将产生一个编译错误，这通常是可取的:

String a = "123"
int b = (int)a;

Statically typed languages generally require you to declare the types of variables, which is then checked at compile time to reduce errors. The word "static" in "statically typed" refers to "static code analysis", which is the process of examining the code prior to executing it. Although it is possible for a statically typed language to infer the type of the variable from the right hand side of an expression or actual parameters, in practice most statically typed languages require variable types to be explicitly declared.

Dynamically typed languages generally do not require variable declarations to have types, and they infer variable types based on the type calculated as a result of evaluating the right hand side of every assignment statement or the actual parameters to a function call. Since the variable can be given multiple assignments over its lifetime, its type can change over time and this is why it is called "dynamically typed". Also, the runtime environment needs to keep track of the current type for each variable, so the type is bound to the value rather than with the variable declaration. This can be considered a runtime type information (RTTI) system.

静态类型语言和动态类型语言的元素可以组合。例如，c#既支持静态类型变量，也支持动态类型变量，而面向对象语言通常支持类型层次结构的向下转换。静态类型语言通常提供各种绕过类型检查的方法，例如使用强制转换、反射和动态调用。

强类型和弱类型指的是语言在多大程度上试图防止由于使用变量而导致的错误，就好像它是一种类型，而实际上它是另一种类型。例如，C和Java都是静态类型语言，但是Java使用了比C强大得多的类型检查。下面的C代码很容易编译和运行，并会在运行时将一个随机值放入变量b中，很可能会导致错误:

char *a = "123";
int b = (int)a;

等效的Java代码将产生一个编译错误，这通常是可取的:

String a = "123"
int b = (int)a;

简单地说:在静态类型语言中，类型是静态的，这意味着一旦将变量设置为类型，就不能更改它。这是因为类型是与变量而不是它所引用的值相关联的。

例如，在Java中:

String str = "Hello";  //statically typed as string
str = 5;               //would throw an error since java is statically typed

而在动态类型语言中，类型是动态的，这意味着在将变量设置为类型之后，您可以更改它。这是因为类型与值而不是变量相关联。

例如，在Python中:

str = "Hello" # it is a string
str = 5       # now it is an integer; perfectly OK

另一方面，语言中的强/弱类型与隐式类型转换有关(部分取自@Dario的回答):

例如，在Python中:

str = 5 + "hello" 
# would throw an error since it does not want to cast one type to the other implicitly. 

而在PHP中:

$str = 5 + "hello"; // equals 5 because "hello" is implicitly casted to 0 
// PHP is weakly typed, thus is a very forgiving language.

静态类型允许在编译时检查类型正确性。静态类型的语言通常是编译的，动态类型的语言是解释的。因此，动态类型语言可以在运行时检查类型。

摘自Addison Wesley，《面向对象的分析与应用设计》，第3期，第66页:

The concepts of strong and weak typing and static and dynamic typing are entirely different. Strong and weak typing refers to type consistency, whereas static and dynamic typing refers to the time when names are bound to types. Static typing (also known as static binding or early binding) means that the types of all variables and expressions are fixed at the time of compilation; dynamic typing (also known as late binding) means that the types of all variables and expressions are not known until runtime. A language may be both strongly and statically typed (Ada), strongly typed yet supportive of dynamic typing (C++, Java), or untyped yet supportive of dynamic typing (Smalltalk).

You have discovered a soft spot in the terminology that amateurs use to talk about programming languages. Don't use the terms "strong" and "weak" typing, because they don't have a universally agreed on technical meaning. By contrast, static typing means that programs are checked before being executed, and a program might be rejected before it starts. Dynamic typing means that the types of values are checked during execution, and a poorly typed operation might cause the program to halt or otherwise signal an error at run time. A primary reason for static typing is to rule out programs that might have such "dynamic type errors".

Strong typing generally means that there are no loopholes in the type system, whereas weak typing means the type system can be subverted (invalidating any guarantees). The terms are often used incorrectly to mean static and dynamic typing. To see the difference, think of C: the language is type-checked at compile time (static typing), but there are plenty of loopholes; you can pretty much cast a value of any type to another type of the same size---in particular, you can cast pointer types freely. Pascal was a language that was intended to be strongly typed but famously had an unforeseen loophole: a variant record with no tag.

随着时间的推移，强类型语言的实现经常会出现漏洞，通常是为了让运行时系统的一部分可以用高级语言实现。例如，Objective Caml有一个叫做Obj的函数。Magic，它具有简单地返回其参数的运行时效果，但在编译时它将任何类型的值转换为任何其他类型的值。我最喜欢的例子是Modula-3，它的设计者称其类型转换结构为漏洞。

话虽如此，你不能指望任何两个人以完全相同的方式使用“强”和“弱”这个词。所以要避开它们。

静态v/s动态类型语言

Statically typed languages are those in which type checking is done at the compile time, so this also means that in statically typed languages each variable has a type and it doesn’t change over the course. Now, in contrast, dynamically typed languages are those in which type checking is done at runtime, and there is no type checking at compile time, so this also means that in dynamically typed languages there may or may not be a type associated with a variables, and if a type is associated then it could be a generic type like “var” in JS which hold good for both a string and number. “Implementations of dynamically type-checked languages generally associate each runtime object with a type tag (i.e., a reference to a type) containing its type information. This runtime type information (RTTI) can also be used to implement dynamic dispatch, late binding, down casting, reflection, and similar features.” Even if language is statically typed, still it could have some dynamically typed feature, which basically means that some sort of type checking at runtime as well. This is useful in casting of types. “A number of useful and common programming language features cannot be checked statically, such as down casting. Thus, many languages will have both static and dynamic type checking; the static type checker verifies what it can, and dynamic checks verify the rest.” “Some languages allow writing code that is not type-safe. For example, in C, programmers can freely cast a value between any two types that have the same size.” Advantage of “statically” typed languages are that: Since most of the type checking is done at compile time so interpreter or runtime can run at full speed, without worrying about the types. It leads to lesser number of runtime exception or errors related to type, because most of the type checking is done at compile time. Advantage of “dynamically” typed languages are that: They could help in extremely fast prototyping, since developer need not to understand the type system so dev can loosely create variables and run it, and this leads to very fast prototyping. List of statically and dynamically typed languages: Statically: Java C (C is a statically typed language but lesser “strongly” typed as compared to Java because it allows more implicit conversions) C++ C# Dynamically: PERL PHP Python JavaScript Ruby Type checking is an important security feature. Suppose, there is no type checking, and a method accepts an object of type “BankAccount” which has a method called as “creditAccount(BankAccountDetails)”, now at runtime if there is no type checking then I can pass an object of my own class which has same method “creditAccount(BankAccountDetails)” and it will get executed, considering we are talking about object oriented language because OOP supports “polymorphism” and here what we are discussing is nothing but “polymorphism”. So, basically an object oriented language (which basically means it supports “polymorphism”) which doesn’t have strong type checking can lead to security issues.

强v/s弱类型语言

Strongly typed languages are those in which implicit conversions are not allowed if there is loss of precision. For example, in Java, you can cast an “int to long” because there is no loss of precision but you cannot “implicitly” cast a “long to int” because there would be loss of precision. In contrast, in weakly typed languages, implicit conversions are allowed even if there is loss of precision. I think dynamically typed language can also be a strongly typed language if “at runtime” it doesn’t allow implicit conversions in which there is loss of precision.

很好的进一步阅读

Type_system Strong_and_weak_typing 类别:Statically_typed_programming_languages 类别:Dynamically_typed_programming_languages