There was another thread about this, which I’ve tried. But there is one problem: the textarea doesn’t shrink if you delete the content. I can’t find any way to shrink it to the correct size – the clientHeight value comes back as the full size of the textarea, not its contents.

The code from that page is below:

function FitToContent(id, maxHeight)
{
   var text = id && id.style ? id : document.getElementById(id);
   if ( !text )
      return;

   var adjustedHeight = text.clientHeight;
   if ( !maxHeight || maxHeight > adjustedHeight )
   {
      adjustedHeight = Math.max(text.scrollHeight, adjustedHeight);
      if ( maxHeight )
         adjustedHeight = Math.min(maxHeight, adjustedHeight);
      if ( adjustedHeight > text.clientHeight )
         text.style.height = adjustedHeight + "px";
   }
}

window.onload = function() {
    document.getElementById("ta").onkeyup = function() {
      FitToContent( this, 500 )
    };
}

A COMPLETE YET SIMPLE SOLUTION

Updated 2020-05-14
(Improved browser support for mobiles and tablets)

The following code will work:

• On key input.
• With pasted text (right click & ctrl+v).
• With cut text (right click & ctrl+x).
• With pre-loaded text.
• With all textarea’s (multiline textbox’s) site wide.
• With Firefox (v31-67 tested).
• With Chrome (v37-74 tested).
• With IE (v9-v11 tested).
• With Edge (v14-v18 tested).
• With IOS Safari.
• With Android Browser.
• With JavaScript strict mode.
• Is w3c validated.
• And is streamlined and efficient.

OPTION 1 (With jQuery)

This option requires jQuery and has been tested and is working with 1.7.2 – 3.6

Simple (Add this jquery code to your master script file and forget about it.)

$("textarea").each(function () {
  this.setAttribute("style", "height:" + (this.scrollHeight) + "px;overflow-y:hidden;");
}).on("input", function () {
  this.style.height = "auto";
  this.style.height = (this.scrollHeight) + "px";
});

<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js"></script>
<textarea placeholder="Type, paste, cut text here...">PRELOADED TEXT.
This javascript should now add better support for IOS browsers and Android browsers.</textarea>
<textarea placeholder="Type, paste, cut text here..."></textarea>

Test on jsfiddle

OPTION 2 (Pure JavaScript)

Simple (Add this JavaScript to your master script file and forget about it.)

const tx = document.getElementsByTagName("textarea");
for (let i = 0; i < tx.length; i++) {
  tx[i].setAttribute("style", "height:" + (tx[i].scrollHeight) + "px;overflow-y:hidden;");
  tx[i].addEventListener("input", OnInput, false);
}

function OnInput() {
  this.style.height = "auto";
  this.style.height = (this.scrollHeight) + "px";
}

<textarea placeholder="Type, paste, cut text here...">PRELOADED TEXT. This JavaScript should now add better support for IOS browsers and Android browsers.</textarea>
<textarea placeholder="Type, paste, cut text here..."></textarea>

Test on jsfiddle

OPTION 3 (jQuery Extension)

Useful if you want to apply further chaining to the textareas you want to be auto-sized.

jQuery.fn.extend({
  autoHeight: function () {
    function autoHeight_(element) {
      return jQuery(element)
        .css({ "height": "auto", "overflow-y": "hidden" })
        .height(element.scrollHeight);
    }
    return this.each(function() {
      autoHeight_(this).on("input", function() {
        autoHeight_(this);
      });
    });
  }
});

Invoke with $("textarea").autoHeight()

UPDATING TEXTAREA VIA JAVASCRIPT

When injecting content into a textarea via JavaScript append the following code to invoke the function in option 1.

$("textarea").trigger("input");

PRESET TEXTAREA HEIGHT

To fix the initial height of the textarea you will need to add an additional condition:

const txHeight = 16;
const tx = document.getElementsByTagName("textarea");

for (let i = 0; i < tx.length; i++) {
  if (tx[i].value == '') {
    tx[i].setAttribute("style", "height:" + txHeight + "px;overflow-y:hidden;");
  } else {
    tx[i].setAttribute("style", "height:" + (tx[i].scrollHeight) + "px;overflow-y:hidden;");
  }
  tx[i].addEventListener("input", OnInput, false);
}

function OnInput(e) {
  this.style.height = "auto";
  this.style.height = (this.scrollHeight) + "px";
}

<textarea placeholder="Type, paste, cut text here...">PRELOADED TEXT. This JavaScript should now add better support for IOS browsers and Android browsers.</textarea>
<textarea placeholder="Type, paste, cut text here..."></textarea>