<input type="checkbox" onclick="del()"/>
<table border="1">
<tr>
<td>номер</td>
<td>имя</td>
</tr>
<tr>
<td>1</td>
<td>Игорь</td>
</tr>
<tr>
<td>2</td>
<td> </td>
</tr>
</table>
<script>
function del() {
var td = document.getElementsByTagName('td');
for (var i = 0; i < td.length; i++) {
if(td[i].innerHTML == ' ') td[i].parentNode.parentNode.removeChild(td[i].parentNode);
}
}
</script>