how to make browsers to remember previously typed textbox's values (usercontrol)?

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C#

ASP.NET

auto-complete

I have a simple user control, just combined label and textbox inside of div with rounded corners. What should I do to make browsers to remember previously typed textbox's values. I couldn't make AutoCompleteType property working. Here is the control:

<%@ Control Language="C#" AutoEventWireup="true" CodeBehind="TextBox.ascx.cs" Inherits="UserControls.TextBox" %>
<div>
 <asp:Label ID="lbl" CssClass="lbl" runat="server" Text="">
 <div id="tbDiv"  runat="server" class="tbRoundedWithShade">
    <asp:TextBox ID="tb" runat="server" CssClass="box" ontextchanged="tb_TextChanged" AutoPostBack="false" >
 </div>
 <div style="display: inline-block; color: Red; visibility: hidden"  runat="server" id="lblRequired" >*

I assume some programming will be required. Does anybody have a sample?

Regards