We can use Javascript for that
Hyperlink to call the javascript can be given as below
<asp:HyperLink ID="hyperLnk" runat="server" Text="click here" NavigateUrl="javascript:openWinNavigateUrl()"></asp:HyperLink>
and the Javascript can be given as
function openWinNavigateUrl() {
var query = document.location.href;
var n = query.indexOf("id");
var queryString = query.substring(n + 3, query.length);
window.open("Window.aspx?id=" + queryString);
}