You can access label value using any event like button client click
here I have given cssclass name for label.
<asp:Label ID="lbltext" runat="server" CssClass="cssTextLabel" Text="Test">
</asp:Label>
<asp:Button ID="btnGetLabelData" Text="Get Data" runat="server" OnClientClick="GetData()" />
define javascript function like below.
<script type="text/javascript">
function GetData() {
var lbltxt = $.find('span.cssTextLabel')[0].innerHTML
__doPostBack('GET_DATA', lbltxt);
}
</script>
handle postback in page load of page as below.
Protected Sub Page_Load(ByVal sender As Object, ByVal e As System.EventArgs)
Handles Me.Load
Dim strLblData As String = String.Empty
If Request("__EVENTTARGET") = "GET_DATA" Then
strLblData = Request("__EVENTARGUMENT").ToString()
Response.Write(strLblData)
End If
End Sub
Hope this will help you.