Hi ramco1917,
Please refer below sample.
HTML
<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/bootstrap@4.6.1/dist/css/bootstrap.min.css" />
<script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.slim.min.js"></script>
<script src="https://cdn.jsdelivr.net/npm/popper.js@1.16.1/dist/umd/popper.min.js"></script>
<script src="https://cdn.jsdelivr.net/npm/bootstrap@4.6.1/dist/js/bootstrap.bundle.min.js"></script>
<button type="button" class="btn btn-primary" data-toggle="modal" data-target="#myModal">
    Select
</button>
<div class="modal" id="myModal">
    <div class="modal-dialog">
        <div class="modal-content">
            <div class="form-horizontal">
                <div class="modal-body">
                    <asp:ScriptManager ID="ScriptManager1" runat="server"></asp:ScriptManager>
                    <asp:UpdatePanel ID="UpdatePanel1" runat="server">
                        <ContentTemplate>
                            <div class="row">
                                <div class="col-lg-6 col-md-6 col-sm-12">
                                    <div class="form-group">
                                        <label>KRA</label> <span style="color: red">*</span>
                                        <asp:DropDownList ID="ddlKRA" class="form-control" runat="server" required="true" AutoPostBack="true" OnSelectedIndexChanged="KRA_Changed">
                                            <asp:ListItem Value="">Select KRA</asp:ListItem>
                                        </asp:DropDownList>
                                    </div>
                                </div>
                                <div class="col-lg-6 col-md-6 col-sm-12">
                                    <div class="form-group">
                                        <label>Sub KRA</label> <span style="color: red">*</span>
                                        <asp:DropDownList ID="ddlSubKRA" class="form-control" runat="server" required="true">
                                            <asp:ListItem Value="">Select Sub KRA</asp:ListItem>
                                        </asp:DropDownList>
                                    </div>
                                </div>
                            </div>
                        </ContentTemplate>
                    </asp:UpdatePanel>
                    <div class="row">
                    </div>
                </div>
            </div>
        </div>
    </div>
</div>
Namespaces
C#
using System.Data;
using System.Data.SqlClient;
using System.Configuration;
VB.Net
Imports System.Data
Imports System.Data.SqlClient
Imports System.Configuration
Code
C#
protected void Page_Load(object sender, EventArgs e)
{
    if (!this.IsPostBack)
    {
        this.BindDropDownList();
    }
}
private void BindDropDownList()
{
    string conString = ConfigurationManager.ConnectionStrings["constr"].ConnectionString;
    using (SqlConnection con = new SqlConnection(conString))
    {
        using (SqlCommand cmd = new SqlCommand("SELECT CountryId, CountryName FROM Countries", con))
        {
            con.Open();
            ddlKRA.DataSource = cmd.ExecuteReader();
            ddlKRA.DataTextField = "CountryName";
            ddlKRA.DataValueField = "CountryId";
            ddlKRA.DataBind();           
            con.Close();
        }
    }
}
protected void KRA_Changed(object sender, EventArgs e)
{
    int countryId = int.Parse(ddlKRA.SelectedValue);
    string conString = ConfigurationManager.ConnectionStrings["constr"].ConnectionString;
    using (SqlConnection con = new SqlConnection(conString))
    {
        using (SqlCommand cmd = new SqlCommand("SELECT StateId , StateName FROM States WHERE CountryId = @CountryId", con))
        {
            con.Open();
            cmd.Parameters.AddWithValue("@CountryId", countryId);
            ddlSubKRA.DataSource = cmd.ExecuteReader();
            ddlSubKRA.DataTextField = "StateName";
            ddlSubKRA.DataValueField = "StateName";
            ddlSubKRA.DataBind();            
            con.Close();
        }
    }
}
VB.Net
Protected Sub Page_Load(ByVal sender As Object, ByVal e As EventArgs) Handles Me.Load
    If Not Me.IsPostBack Then
        Me.BindDropDownList()
    End If
End Sub
Private Sub BindDropDownList()
    Dim conString As String = ConfigurationManager.ConnectionStrings("constr").ConnectionString
    Using con As SqlConnection = New SqlConnection(conString)
        Using cmd As SqlCommand = New SqlCommand("SELECT CountryId, CountryName FROM Countries", con)
            con.Open()
            ddlKRA.DataSource = cmd.ExecuteReader()
            ddlKRA.DataTextField = "CountryName"
            ddlKRA.DataValueField = "CountryId"
            ddlKRA.DataBind()            
            con.Close()
        End Using
    End Using
End Sub
Protected Sub KRA_Changed(ByVal sender As Object, ByVal e As EventArgs)
    Dim countryId As Integer = Integer.Parse(ddlKRA.SelectedValue)
    Dim conString As String = ConfigurationManager.ConnectionStrings("constr").ConnectionString
    Using con As SqlConnection = New SqlConnection(conString)
        Using cmd As SqlCommand = New SqlCommand("SELECT StateId , StateName FROM States WHERE CountryId = @CountryId", con)
            con.Open()
            cmd.Parameters.AddWithValue("@CountryId", countryId)
            ddlSubKRA.DataSource = cmd.ExecuteReader()
            ddlSubKRA.DataTextField = "StateName"
            ddlSubKRA.DataValueField = "StateName"
            ddlSubKRA.DataBind()           
            con.Close()
        End Using
    End Using
End Sub
Screenshot
