假如你要的只是弯角而不是整尾，则使用下面的代码。

<?xml version="1.0" encoding="utf-8"?>
<shape xmlns:android="http://schemas.android.com/apk/res/android" >

    <corners android:radius="10dp" />

    <padding
        android:bottom="3dp"
        android:left="0dp"
        android:right="0dp"
        android:top="3dp" />

    <gradient
        android:angle="90"
        android:endColor="@color/White"
        android:startColor="@color/White" />

    <stroke
        android:width="1dp"
        android:color="@color/Gray" />

</shape>

它只会弯曲EditText的四个角度。

谢谢Norfeldt的回答。我稍微改变了它的梯度，以获得更好的内阴影效果。

<item android:state_pressed="false" android:state_focused="false">
    <shape>
        <gradient
            android:centerY="0.2"
            android:startColor="#D3D3D3"
            android:centerColor="#65FFFFFF"
            android:endColor="#00FFFFFF"
            android:angle="270"
            />
        <stroke
            android:width="0.7dp"
            android:color="#BDBDBD" />
        <corners
            android:radius="15dp" />
    </shape>
</item>

看起来很棒在一个光背景布局..

为了补充其他答案，我发现实现圆角的最简单的解决方案是将以下内容设置为Edittext的背景。

<?xml version="1.0" encoding="utf-8"?>
<shape xmlns:android="http://schemas.android.com/apk/res/android">

    <solid android:color="@android:color/white"/>
    <corners android:radius="8dp"/>

</shape>

假如你要的只是弯角而不是整尾，则使用下面的代码。

<?xml version="1.0" encoding="utf-8"?>
<shape xmlns:android="http://schemas.android.com/apk/res/android" >

    <corners android:radius="10dp" />

    <padding
        android:bottom="3dp"
        android:left="0dp"
        android:right="0dp"
        android:top="3dp" />

    <gradient
        android:angle="90"
        android:endColor="@color/White"
        android:startColor="@color/White" />

    <stroke
        android:width="1dp"
        android:color="@color/Gray" />

</shape>

它只会弯曲EditText的四个角度。

在材质组件库中，你可以使用MaterialShapeDrawable来绘制自定义形状。

使用EditText你可以做:

    <EditText
        android:id="@+id/edittext"
        ../>

然后创建一个MaterialShapeDrawable:

float radius = getResources().getDimension(R.dimen.default_corner_radius);

EditText editText = findViewById(R.id.edittext);
//Apply the rounded corners 
ShapeAppearanceModel shapeAppearanceModel = new ShapeAppearanceModel()
                .toBuilder()
                .setAllCorners(CornerFamily.ROUNDED,radius)
                .build();

MaterialShapeDrawable shapeDrawable = 
            new MaterialShapeDrawable(shapeAppearanceModel);
//Apply a background color
shapeDrawable.setFillColor(ContextCompat.getColorStateList(this,R.color.white));
//Apply a stroke
shapeDrawable.setStroke(2.0f, ContextCompat.getColor(this,R.color.colorAccent));

ViewCompat.setBackground(editText,shapeDrawable);

它要求库的版本为1.1.0。

下面是相同的解决方案(有一些额外的代码)，只是在一个XML文件中:

<?xml version="1.0" encoding="utf-8"?>
<!--  res/drawable/edittext_rounded_corners.xml -->
<selector xmlns:android="http://schemas.android.com/apk/res/android">

<item android:state_pressed="true" android:state_focused="true">
    <shape>
        <solid android:color="#FF8000"/>
        <stroke
            android:width="2.3dp"
            android:color="#FF8000" />
         <corners
            android:radius="15dp" />
    </shape>
</item>

<item android:state_pressed="true" android:state_focused="false">
    <shape>
        <solid android:color="#FF8000"/>
        <stroke
            android:width="2.3dp"
            android:color="#FF8000" />      
        <corners
            android:radius="15dp" />       
    </shape>
</item>

<item android:state_pressed="false" android:state_focused="true">
    <shape>
        <solid android:color="#FFFFFF"/>
        <stroke
            android:width="2.3dp"
            android:color="#FF8000" />  
        <corners
            android:radius="15dp" />                          
    </shape>
</item>

<item android:state_pressed="false" android:state_focused="false">
    <shape>
        <gradient 
            android:startColor="#F2F2F2"
            android:centerColor="#FFFFFF"
            android:endColor="#FFFFFF"
            android:angle="270"
        />
        <stroke
            android:width="0.7dp"                
            android:color="#BDBDBD" /> 
        <corners
            android:radius="15dp" />            
    </shape>
</item>

<item android:state_enabled="true">
    <shape>
        <padding 
                android:left="4dp"
                android:top="4dp"
                android:right="4dp"
                android:bottom="4dp"
            />
    </shape>
</item>

</selector>

然后你只需将背景属性设置为edittext_rounded_corners.xml文件:

<EditText  android:id="@+id/editText_name"
      android:background="@drawable/edittext_rounded_corners"/>