Angularjs团队是这样做的(v 1.6.5):

var msie, // holds major version number for IE, or NaN if UA is not IE.

// Support: IE 9-11 only
/**
 * documentMode is an IE-only property
 * http://msdn.microsoft.com/en-us/library/ie/cc196988(v=vs.85).aspx
 */
msie = window.document.documentMode;

然后有几行代码分散在使用它作为一个数字，如

if (event === 'input' && msie <= 11) return false;

and

if (enabled && msie < 8) {

几年后，Edge浏览器现在使用Chromium作为渲染引擎。 遗憾的是，检查IE 11仍然是一件事。

这里有一个更直接的方法，因为古老版本的IE应该消失了。

if (window.document.documentMode) {
  // Do IE stuff
}

---

以下是我以前的答案(2014年):

在Edge中，用户代理字符串已更改。

/**
 * detect IEEdge
 * returns version of IE/Edge or false, if browser is not a Microsoft browser
 */
function detectIEEdge() {
    var ua = window.navigator.userAgent;

    var msie = ua.indexOf('MSIE ');
    if (msie > 0) {
        // IE 10 or older => return version number
        return parseInt(ua.substring(msie + 5, ua.indexOf('.', msie)), 10);
    }

    var trident = ua.indexOf('Trident/');
    if (trident > 0) {
        // IE 11 => return version number
        var rv = ua.indexOf('rv:');
        return parseInt(ua.substring(rv + 3, ua.indexOf('.', rv)), 10);
    }

    var edge = ua.indexOf('Edge/');
    if (edge > 0) {
       // Edge => return version number
       return parseInt(ua.substring(edge + 5, ua.indexOf('.', edge)), 10);
    }

    // other browser
    return false;
}

示例用法:

alert('IEEdge ' + detectIEEdge());

ie10默认字符串:

Mozilla/5.0 (compatible; MSIE 10.0; Windows NT 6.2; Trident/6.0)

IE 11默认字符串:

Mozilla/5.0 (Windows NT 6.3; Trident/7.0; rv:11.0) like Gecko 

Edge 12的默认字符串:

Mozilla/5.0 (Windows NT 10.0; WOW64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/39.0.2171.71 Safari/537.36 Edge/12.0 

Edge 13的默认字符串(thx @DrCord):

Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/46.0.2486.0 Safari/537.36 Edge/13.10586 

Edge 14的默认字符串:

Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/46.0.2486.0 Safari/537.36 Edge/14.14300 

Edge 15的默认字符串:

Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/52.0.2743.116 Safari/537.36 Edge/15.15063 

Edge 16的默认字符串:

Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/58.0.3029.110 Safari/537.36 Edge/16.16299 

Edge 17的默认字符串:

Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/64.0.3282.140 Safari/537.36 Edge/17.17134 

Edge 18的默认字符串(内部预览):

Mozilla/5.0 (Windows NT 10.0; Win64; x64; ServiceUI 14) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/64.0.3282.140 Safari/537.36 Edge/18.17730 

在CodePen进行测试:

http://codepen.io/gapcode/pen/vEJNZN

下面我找到了一种优雅的方法，在谷歌上搜索——

/ detect IE
var IEversion = detectIE();

if (IEversion !== false) {
  document.getElementById('result').innerHTML = 'IE ' + IEversion;
} else {
  document.getElementById('result').innerHTML = 'NOT IE';
}

// add details to debug result
document.getElementById('details').innerHTML = window.navigator.userAgent;

/**
 * detect IE
 * returns version of IE or false, if browser is not Internet Explorer
 */
function detectIE() {
  var ua = window.navigator.userAgent;

  // Test values; Uncomment to check result …

  // IE 10
  // ua = 'Mozilla/5.0 (compatible; MSIE 10.0; Windows NT 6.2; Trident/6.0)';

  // IE 11
  // ua = 'Mozilla/5.0 (Windows NT 6.3; Trident/7.0; rv:11.0) like Gecko';

  // IE 12 / Spartan
  // ua = 'Mozilla/5.0 (Windows NT 10.0; WOW64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/39.0.2171.71 Safari/537.36 Edge/12.0';

  // Edge (IE 12+)
  // ua = 'Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/46.0.2486.0 Safari/537.36 Edge/13.10586';

  var msie = ua.indexOf('MSIE ');
  if (msie > 0) {
    // IE 10 or older => return version number
    return parseInt(ua.substring(msie + 5, ua.indexOf('.', msie)), 10);
  }

  var trident = ua.indexOf('Trident/');
  if (trident > 0) {
    // IE 11 => return version number
    var rv = ua.indexOf('rv:');
    return parseInt(ua.substring(rv + 3, ua.indexOf('.', rv)), 10);
  }

  var edge = ua.indexOf('Edge/');
  if (edge > 0) {
    // Edge (IE 12+) => return version number
    return parseInt(ua.substring(edge + 5, ua.indexOf('.', edge)), 10);
  }

  // other browser
  return false;
}

对于任何版本的Internet Explorer都返回true:

function isIE(userAgent) {
  userAgent = userAgent || navigator.userAgent;
  return userAgent.indexOf("MSIE ") > -1 || userAgent.indexOf("Trident/") > -1 || userAgent.indexOf("Edge/") > -1;
}

userAgent参数是可选的，默认为浏览器的用户代理。

Necromancing。

为了不依赖于user-agent字符串，只需检查以下几个属性:

if (document.documentMode) 
{
    console.log('Hello Microsoft IE User!');
}

if (!document.documentMode && window.msWriteProfilerMark) {
    console.log('Hello Microsoft Edge User!');
}

if (document.documentMode || window.msWriteProfilerMark) 
{
    console.log('Hello Microsoft User!');
}

if (window.msWriteProfilerMark) 
{
    console.log('Hello Microsoft User in fewer characters!');
}

此外，这将检测新的Chredge/Edgium(阿纳海姆):

function isEdg()
{ 

    for (var i = 0, u="Microsoft", l =u.length; i < navigator.plugins.length; i++)
    {
        if (navigator.plugins[i].name != null && navigator.plugins[i].name.substr(0, l) === u)
            return true;
    }

    return false;
}

这个可以检测铬:

function isChromium()
{ 

    for (var i = 0, u="Chromium", l =u.length; i < navigator.plugins.length; i++)
    {
        if (navigator.plugins[i].name != null && navigator.plugins[i].name.substr(0, l) === u)
            return true;
    }

    return false;
}

还有这个Safari:

if(window.safari)
{
    console.log("Safari, yeah!");
}

我想这会对你有帮助

function checkIsIE() {
    var isIE = false;
    if (navigator.userAgent.indexOf('MSIE') !== -1 || navigator.appVersion.indexOf('Trident/') > 0) {
        isIE = true;
    }
    if (isIE)  // If Internet Explorer, return version number
    {
        kendo.ui.Window.fn._keydown = function (originalFn) {
            var KEY_ESC = 27;
            return function (e) {
                if (e.which !== KEY_ESC) {
                    originalFn.call(this, e);
                }
            };
        }(kendo.ui.Window.fn._keydown);

        var windowBrowser = $("#windowBrowser").kendoWindow({
            modal: true,
            id: 'dialogBrowser',
            visible: false,
            width: "40%",
            title: "Thông báo",
            scrollable: false,
            resizable: false,
            deactivate: false,
            position: {
                top: 100,
                left: '30%'
            }
        }).data('kendoWindow');
        var html = '<br /><div style="width:100%;text-align:center"><p style="color:red;font-weight:bold">Please use the browser below to use the tool</p>';
        html += '<img src="/Scripts/IPTVClearFeePackage_Box/Images/firefox.png"/>';
        html += ' <img src="/Scripts/IPTVClearFeePackage_Box/Images/chrome.png" />';
        html += ' <img src="/Scripts/IPTVClearFeePackage_Box/Images/opera.png" />';
        html += '<hr /><form><input type="button" class="btn btn-danger" value="Đóng trình duyệt" onclick="window.close()"></form><div>';
        windowBrowser.content(html);
        windowBrowser.open();

        $("#windowBrowser").parent().find(".k-window-titlebar").remove();
    }
    else  // If another browser, return 0
    {
        return false;
    }
}