You set the forms default button:
<form id="Form1" defaultbutton="SubmitButton" runat="server">
The Following works for me.
<form id="form1" runat="server" defaultbutton="LoginButton">
<div>
<asp:TextBox ID="P" runat="server" TextMode="Password" Width="150"></asp:TextBox>
<asp:LinkButton CssClass="button" ID="LoginButton"
runat="server" CommandName="Login" Text="Log In" ValidationGroup="Login1"
OnClick="LoginButton_Click" />
<asp:Button ID="Button1" runat="server" Text="Submit" OnClick="Button1_Click" > </asp:button>
</div>
</form>