Hi,

jTemplete directly does not support table or dataset. You can do some twiking as below-

HTML-

<asp:Content ID="Content1" ContentPlaceHolderID="head" runat="Server">


    <script type="text/javascript" src="scripts/jquery.js"></script>


    <script src="scripts/jtemplates.js" type="text/javascript"></script>


    <script type="text/javascript">
        function btnGetResult_onclick() {
            $.ajax({
                type: "POST",
                url: "ServiceCompas.asmx/GetList",
                contentType: "application/json; charset=utf-8",
                dataType: "json",
                success: function(data) {
                    $('#placeholder').setTemplate($('#template').html());
                    $('#placeholder').processTemplate(data.d);
                },
                error: function(xhr, status, e) {
                }
            });
        }
    </script>


</asp:Content>
<asp:Content ID="Content2" ContentPlaceHolderID="ContentPlaceHolder1" runat="Server">
    <script id="template" type="text/html">
        <table>
            <thead>
                <tr>
                    <th style="border-width:thin; border-style:solid;">ScreeningPropertyID</th>
                    <th style="border-width:thin; border-style:solid;">ScreeningValue</th>
                </tr>
            </thead>
            <tbody>
            {#foreach $T as record}
                <tr>
                    <td>{ $T.record.ScreeningPropertyID }</td>
                    <td>{ $T.record.ScreeningValue }</td>
                </tr>
            {#/for}
            </tbody>
        </table>
    </script>


    <br />
    <input type="button" id="Button1" value="Click to see result" onclick="return btnGetResult_onclick()" />
    <br />
    <div id="placeholder">
    </div>
</asp:Content>

Service Web Method-

    [WebMethod]
    public List<ScreeningPropertyModel> GetList()
    {
        //your dataTable from database
        DataTable dt = new DataTable();
        dt.Columns.Add("ScreeningPropertyID");
        dt.Columns.Add("ScreeningValue");
        DataRow dr=dt.NewRow();
        dr["ScreeningPropertyID"] = 1;
        dr["ScreeningValue"] = "test value";
        dt.Rows.Add(dr);
        //end datatable
        
        List<ScreeningPropertyModel> obj = new List<ScreeningPropertyModel>();
        for (int i = 0; i < dt.Rows.Count; i++)
        {
            obj.Add(new ScreeningPropertyModel()
            {
                ScreeningPropertyID = Convert.ToString(dt.Rows[i]["ScreeningPropertyID"]),
                ScreeningValue = Convert.ToString(dt.Rows[i]["ScreeningValue"])
            });
        }
        return obj;
    }

Data Class-

public class ScreeningPropertyModel
{
    public string ScreeningPropertyID { get; set; }
    public string ScreeningValue { get; set; }
}