Can I use a min-height for table, tr or td?

The solution without div is used a pseudo element like ::after into first td in row with min-height. Save your HTML clean.

table tr td:first-child::after {
   content: "";
   display: inline-block;
   vertical-align: top;
   min-height: 60px;
}

In CSS 2.1, the effect of 'min-height' and 'max-height' on tables, inline tables, table cells, table rows, and row groups is undefined.

So try wrapping the content in a div, and give the div a min-height jsFiddle here

<table cellspacing="0" cellpadding="0" border="0" style="width:300px">
    <tbody>
        <tr>
            <td>
                <div style="min-height: 100px; background-color: #ccc">
                    Hello World !
                </div>
            </td>
            <td>
                <div style="min-height: 100px; background-color: #f00">
                    Good Morning !
                </div>
            </td>
        </tr>
    </tbody>
</table>

It's not a nice solution but try it like this:

<table>
    <tr>
        <td>
            <div>Lorem</div>
        </td>
    </tr>
    <tr>
        <td>
            <div>Ipsum</div>
        </td>
    </tr>
</table>

and set the divs to the min-height:

div {
    min-height: 300px;
}

Hope this is what you want ...

height for td works like min-height:

td {
  height: 100px;
}

instead of

td {
  min-height: 100px;
}

Table cells will grow when the content does not fit.

https://jsfiddle.net/qz70zps4/