I've met my desired result by using MonthCalendar instead of DTP.
here's the code for future reference of other people in case they want a same output. Thanks, Peace!...
Private Sub NotificationV2_Load(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles MyBase.Load
MonthCalendar1.BringToFront()
MonthCalendar1.Location = New Point(265, 160)
MonthCalendar1.Visible = False
End Sub
Private Sub MetroTextBox8_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles MetroTextBox8.Click
MonthCalendar1.Visible = Not MonthCalendar1.Visible
End Sub
Private Sub MonthCalendar1_DateSelected(ByVal sender As Object, ByVal e As System.Windows.Forms.DateRangeEventArgs) Handles MonthCalendar1.DateSelected
MonthCalendar1.Visible = False
MetroTextBox8.Text = e.Start.ToShortDateString
End Sub