If you submit it to PHP for example, you'll be able to access it using: $_POST['emp_name']. The problem in your script is that emp_name is used several times.
Make sure to use unique names. So your code could be (if not known with arrays):
<form method = "POST"><table>
<tr>
<td><input type='text' name="emp_name_0"></td>
<td><input type='text' name="emp_phone_0"></td>
<td><input type='submit' name="submit_0"></td>
</tr>
<tr>
<td><input type='text' name="emp_name_1"></td>
<td><input type='text' name="emp_phone_1"></td>
<td><input type='submit' name="submit_1"></td>
</tr>
</table>
</form>
Now they're unique and you can access them by name without any problems. But probably you want one button for each form. Then just close the form after the submit button, and directly open a new form
<form>/*form 1*/</form> and <form>/*form 2*/</form>
Set a method for your form. in this case POST you want to post data, then you need a php file that will handle the form submition
<?php
if(isset($_POST['submit_0'])){
//First button is clicked handle it.
}elseif(isset($_POST['submit_1'])){
// handle the second button
}
?>