function logout() {
  var userAgent = navigator.userAgent.toLowerCase();

  if (userAgent.indexOf("msie") != -1) {
    document.execCommand("ClearAuthenticationCache", false);
  }

  xhr_objectCarte = null;

  if(window.XMLHttpRequest)
    xhr_object = new XMLHttpRequest();
  else if(window.ActiveXObject)
    xhr_object = new ActiveXObject("Microsoft.XMLHTTP");
  else
    alert ("Your browser doesn't support XMLHTTPREQUEST");

  xhr_object.open ('GET', 'http://yourserver.com/rep/index.php', false, 'username', 'password');
  xhr_object.send ("");
  xhr_object = null;

  document.location = 'http://yourserver.com'; 
  return false;
}

这在基本身份验证中是不可能直接实现的。

在HTTP规范中，服务器没有机制告诉浏览器停止发送用户已经提供的凭据。

有一些“黑客”(参见其他答案)通常涉及使用XMLHttpRequest发送带有错误凭据的HTTP请求，以覆盖最初提供的凭据。

此JavaScript必须适用于所有最新版本的浏览器:

//Detect Browser
var isOpera = !!window.opera || navigator.userAgent.indexOf(' OPR/') >= 0;
    // Opera 8.0+ (UA detection to detect Blink/v8-powered Opera)
var isFirefox = typeof InstallTrigger !== 'undefined';   // Firefox 1.0+
var isSafari = Object.prototype.toString.call(window.HTMLElement).indexOf('Constructor') > 0;
    // At least Safari 3+: "[object HTMLElementConstructor]"
var isChrome = !!window.chrome && !isOpera;              // Chrome 1+
var isIE = /*@cc_on!@*/false || !!document.documentMode; // At least IE6
var Host = window.location.host;


//Clear Basic Realm Authentication
if(isIE){
//IE
    document.execCommand("ClearAuthenticationCache");
    window.location = '/';
}
else if(isSafari)
{//Safari. but this works mostly on all browser except chrome
    (function(safeLocation){
        var outcome, u, m = "You should be logged out now.";
        // IE has a simple solution for it - API:
        try { outcome = document.execCommand("ClearAuthenticationCache") }catch(e){}
        // Other browsers need a larger solution - AJAX call with special user name - 'logout'.
        if (!outcome) {
            // Let's create an xmlhttp object
            outcome = (function(x){
                if (x) {
                    // the reason we use "random" value for password is 
                    // that browsers cache requests. changing
                    // password effectively behaves like cache-busing.
                    x.open("HEAD", safeLocation || location.href, true, "logout", (new Date()).getTime().toString())
                    x.send("");
                    // x.abort()
                    return 1 // this is **speculative** "We are done." 
                } else {
                    return
                }
            })(window.XMLHttpRequest ? new window.XMLHttpRequest() : ( window.ActiveXObject ? new ActiveXObject("Microsoft.XMLHTTP") : u )) 
        }
        if (!outcome) {
            m = "Your browser is too old or too weird to support log out functionality. Close all windows and restart the browser."
        }
        alert(m);
        window.location = '/';
        // return !!outcome
    })(/*if present URI does not return 200 OK for GET, set some other 200 OK location here*/)
}
else{
//Firefox,Chrome
    window.location = 'http://log:out@'+Host+'/';
}

bobince对这个问题的补充回答是…

使用Ajax，您可以将“注销”链接/按钮连接到Javascript函数。让这个函数发送带有错误用户名和密码的XMLHttpRequest。这应该会得到401。然后设置文档。位置返回到预登录页面。这样，用户将永远不会在注销期间看到额外的登录对话框，也不必记得输入错误的凭据。

使用会话ID (cookie) 使服务器上的会话ID失效 不接受会话id无效的用户

我为现代Chrome版本更新了mthoring的解决方案:

function logout(secUrl, redirUrl) {
    if (bowser.msie) {
        document.execCommand('ClearAuthenticationCache', 'false');
    } else if (bowser.gecko) {
        $.ajax({
            async: false,
            url: secUrl,
            type: 'GET',
            username: 'logout'
        });
    } else if (bowser.webkit || bowser.chrome) {
        var xmlhttp = new XMLHttpRequest();
        xmlhttp.open(\"GET\", secUrl, true);
        xmlhttp.setRequestHeader(\"Authorization\", \"Basic logout\");\
        xmlhttp.send();
    } else {
// http://stackoverflow.com/questions/5957822/how-to-clear-basic-authentication-details-in-chrome
        redirUrl = url.replace('http://', 'http://' + new Date().getTime() + '@');
    }
    setTimeout(function () {
        window.location.href = redirUrl;
    }, 200);
}