Hi vijayprathaph...,

Using the below article i have created the example.

Print DataGridView in Windows Application using C# and VB.Net

You need to add another DataGridView to the form which will be used to print the selected rows.

I have added a CheckBox column to the DataGridView for selecting the rows.

For more details on adding CheckBox refer below article.

Add CheckBox Column to DataGridView in Windows Forms application using C# and VB.Net

Code

C#

private void Form1_Load(object sender, EventArgs e)
{
    this.BindDataGridView();
}

private void BindDataGridView()
{
    DataTable dt = new DataTable();
    dt.Columns.AddRange(new DataColumn[3] { new DataColumn("Id", typeof(int)),
                        new DataColumn("Name", typeof(string)),
                        new DataColumn("Country",typeof(string)) });
    dt.Rows.Add(1, "John Hammond", "United States");
    dt.Rows.Add(2, "Mudassar Khan", "India");
    dt.Rows.Add(3, "Suzanne Mathews", "France");
    dt.Rows.Add(4, "Robert Schidner", "Russia");
    this.dataGridView1.DataSource = dt;

    //Add a CheckBox Column to the DataGridView at the first position.
    DataGridViewCheckBoxColumn checkBoxColumn = new DataGridViewCheckBoxColumn();
    checkBoxColumn.HeaderText = "";
    checkBoxColumn.Width = 30;
    checkBoxColumn.Name = "checkBoxColumn";
    dataGridView1.Columns.Insert(0, checkBoxColumn);
}

Bitmap bitmap;
private void btnPrint_Click(object sender, EventArgs e)
{
    DataTable dt = new DataTable();
    dt.Columns.Add("Id");
    dt.Columns.Add("Name");
    dt.Columns.Add("Country");

    foreach (DataGridViewRow row in dataGridView1.Rows)
    {
        if (Convert.ToBoolean(row.Cells["checkBoxColumn"].Value))
        {
            dt.Rows.Add(row.Cells[1].Value, row.Cells[2].Value, row.Cells[3].Value);
        }
    }

    dataGridViewPrint.DataSource = dt;
    //Resize DataGridView to full height.
    int height = dataGridViewPrint.Height;
    dataGridViewPrint.Height = dataGridViewPrint.RowCount * dataGridViewPrint.RowTemplate.Height;

    //Create a Bitmap and draw the DataGridView on it.
    bitmap = new Bitmap(dataGridViewPrint.Width, dataGridViewPrint.Height);
    dataGridViewPrint.DrawToBitmap(bitmap, new Rectangle(0, 0, dataGridViewPrint.Width, dataGridViewPrint.Height));

    //Resize DataGridView back to original height.
    dataGridViewPrint.Height = height;

    //Show the Print Preview Dialog.
    printPreviewDialog1.Document = printDocument1;
    printPreviewDialog1.PrintPreviewControl.Zoom = 1;
    printPreviewDialog1.ShowDialog();
}

private void PrintPage(object sender, System.Drawing.Printing.PrintPageEventArgs e)
{
    //Print the contents.
    e.Graphics.DrawImage(bitmap, 0, 0);
}

VB.Net

Private Sub Form1_Load(sender As Object, e As EventArgs) Handles MyBase.Load
    Me.BindDataGridView()
End Sub

Private Sub BindDataGridView()
    Dim dt As New DataTable()
    dt.Columns.AddRange(New DataColumn(2) {New DataColumn("Id", GetType(Integer)),
                        New DataColumn("Name", GetType(String)),
                        New DataColumn("Country", GetType(String))})
    dt.Rows.Add(1, "John Hammond", "United States")
    dt.Rows.Add(2, "Mudassar Khan", "India")
    dt.Rows.Add(3, "Suzanne Mathews", "France")
    dt.Rows.Add(4, "Robert Schidner", "Russia")
    Me.dataGridView1.DataSource = dt
    Dim checkBoxColumn As DataGridViewCheckBoxColumn = New DataGridViewCheckBoxColumn()
    checkBoxColumn.HeaderText = ""
    checkBoxColumn.Width = 30
    checkBoxColumn.Name = "checkBoxColumn"
    dataGridView1.Columns.Insert(0, checkBoxColumn)
End Sub

Private bitmap As Bitmap
Private Sub btnPrint_Click(sender As Object, e As EventArgs) Handles btnPrint.Click
    Dim dt As DataTable = New DataTable()
    dt.Columns.Add("Id")
    dt.Columns.Add("Name")
    dt.Columns.Add("Country")

    For Each row As DataGridViewRow In dataGridView1.Rows
        If Convert.ToBoolean(row.Cells("checkBoxColumn").Value) Then
            dt.Rows.Add(row.Cells(1).Value, row.Cells(2).Value, row.Cells(3).Value)
        End If
    Next

    dataGridViewPrint.DataSource = dt
    'Resize DataGridView to full height.
    Dim height As Integer = dataGridView1.Height
    dataGridView1.Height = dataGridView1.RowCount * dataGridView1.RowTemplate.Height

    'Create a Bitmap and draw the DataGridView on it.
    bitmap = New Bitmap(Me.dataGridView1.Width, Me.dataGridView1.Height)
    dataGridView1.DrawToBitmap(bitmap, New Rectangle(0, 0, Me.dataGridView1.Width, Me.dataGridView1.Height))

    'Resize DataGridView back to original height.
    dataGridView1.Height = height

    'Show the Print Preview Dialog.
    printPreviewDialog1.Document = printDocument1
    printPreviewDialog1.PrintPreviewControl.Zoom = 1
    printPreviewDialog1.ShowDialog()
End Sub

Private Sub PrintPage(sender As Object, e As System.Drawing.Printing.PrintPageEventArgs) Handles printDocument1.PrintPage
    'Print the contents.
    e.Graphics.DrawImage(bitmap, 0, 0)
End Sub

Screenshots

The Form

Print dialog with selected rows