myArray.sort(
  function(a, b) {
    if (a.toLowerCase() < b.toLowerCase()) return -1;
    if (a.toLowerCase() > b.toLowerCase()) return 1;
    return 0;
  }
);

编辑: 请注意，我最初写这篇文章是为了说明技术，而不是考虑性能。也请参考回答@Ivan Krechetov更紧凑的解决方案。

在(几乎:)一行代码中

["Foo", "bar"].sort(function (a, b) {
    return a.toLowerCase().localeCompare(b.toLowerCase());
});

结果是

[ 'bar', 'Foo' ]

而

["Foo", "bar"].sort();

结果

[ 'Foo', 'bar' ]

如果你在努力理解以下内容，这可能会有所帮助:

var array = ["sort", "Me", "alphabetically", "But", "Ignore", "case"];
console.log('Unordered array ---', array, '------------');

array.sort(function(a,b) {
    a = a.toLowerCase();
    b = b.toLowerCase();
    console.log("Compare '" + a + "' and '" + b + "'");

    if( a == b) {
        console.log('Comparison result, 0 --- leave as is ');
        return 0;
    }
    if( a > b) {
        console.log('Comparison result, 1 --- move '+b+' to before '+a+' ');
        return 1;
    }
    console.log('Comparison result, -1 --- move '+a+' to before '+b+' ');
    return -1;


});

console.log('Ordered array ---', array, '------------');


// return logic

/***
If compareFunction(a, b) is less than 0, sort a to a lower index than b, i.e. a comes first.
If compareFunction(a, b) returns 0, leave a and b unchanged with respect to each other, but sorted with respect to all different elements. Note: the ECMAscript standard does not guarantee this behaviour, and thus not all browsers (e.g. Mozilla versions dating back to at least 2003) respect this.
If compareFunction(a, b) is greater than 0, sort b to a lower index than a.
***/

http://jsfiddle.net/ianjamieson/wmxn2ram/1/

你也可以使用新的Intl.Collator().compare，每个MDN在排序数组时更有效。缺点是旧的浏览器不支持它。MDN声明Safari根本不支持它。需要验证它，因为它声明Intl。支持Collator。

当比较大量字符串时，例如对大型数组排序时，最好创建Intl。对象，并使用其compare属性提供的函数

["Foo", "bar"].sort(Intl.Collator().compare); //["bar", "Foo"]

用. tolowercase()规范.sort()中的case。

arr.sort(function(a,b) {
    a = a.toLowerCase();
    b = b.toLowerCase();
    if (a == b) return 0;
    if (a > b) return 1;
    return -1;
});