How to remove the default arrow icon from a dropdown list (select element)?

There's no need for hacks or overflow. There's a pseudo-element for the dropdown arrow on IE:

select::-ms-expand {
    display: none;
}

The previously mentioned solutions work well with chrome but not on Firefox.

I found a Solution that works well both in Chrome and Firefox(not on IE). Add the following attributes to the CSS for your SELECTelement and adjust the margin-top to suit your needs.

select {
  -webkit-appearance: none;
  -moz-appearance: none;
  text-indent: 1px;
  text-overflow: '';
}

<select>
  <option>one</option>
  <option>two</option>
  <option>three</option>

</select>

Simple way to remove drop down arrow from select

select {
  /* for Firefox */
  -moz-appearance: none;
  /* for Chrome */
  -webkit-appearance: none;
}

/* For IE10 */
select::-ms-expand {
  display: none;
}

<select>
  <option>2000</option>
  <option>2001</option>
  <option>2002</option>
</select>

Try this :

select {
    -webkit-appearance: none;
    -moz-appearance: none;
    appearance: none;
    padding: 2px 30px 2px 2px;
    border: none;
}

JS Bin : http://jsbin.com/aniyu4/2/edit

If you use Internet Explorer :

select {
    overflow:hidden;
    width: 120%;
}

Or you can use Choosen : http://harvesthq.github.io/chosen/