Here I have created sample that will help you out.
HTML
<div>
<script type="text/javascript" src="http://ajax.googleapis.com/ajax/libs/jquery/1.7.2/jquery.min.js"></script>
<script type="text/javascript">
$(function () {
$('[id*=txtName]').hide();
$("[id*=btnEdit]").click(function () {
$('[id*=lblName]').hide();
$('[id*=txtName]').val($('[id*=lblName]').html().trim());
$('[id*=txtName]').show();
return false;
});
});
</script>
Name:
<asp:Label ID="lblName" Text="AspSnippets" runat="server" />
<asp:TextBox ID="txtName" runat="server" />
<br />
<br />
<asp:Button ID="btnEdit" Text="Edit" runat="server" />
</div>
Screenshot
