dropDobDay.SelectedItem.Text=dtDob.Day.ToString();
This is the problem
Try:
dropDobDay.SelectedItem.Text.Equals(dtDob.Day.ToString()); //Guess this wont work, that was my first idea :-)
OR
dropDobDay.SelectedValue=dtDob.Day.ToString();
String[] days = { "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12", "13", "14", "15", "16", "17", "18", "19", "20", "21", "22", "23", "24", "25", "26", "27", "28", "29", "30", "31" };
String[] months = { "Jan", "Feb", "Mar", "Apr", "May", "Jun", "Jul", "Aug", "Sep", "Oct", "Nov", "Dec" };
String[] years = { "2006", "2007", "2008" };
ddlDays.DataSource = days;
//Naplneni dnesnim datem
ddlDays.SelectedValue = Convert.ToString(DateTime.Today.Day);
ddlDaysB.DataSource = days;
ddlDaysB.SelectedValue = Convert.ToString(DateTime.Today.AddDays(2).Day);
ddlMonths.DataSource = months;
ddlMonths.SelectedIndex = DateTime.Today.Month -1;
ddlMonthsB.DataSource = months;
ddlMonthsB.SelectedIndex = DateTime.Today.AddDays(2).Month -1;
ddlYears.DataSource = years;
ddlYears.SelectedValue = Convert.ToString(DateTime.Today.Year);
ddlYearsB.DataSource = years;
ddlYearsB.SelectedValue = Convert.ToString(DateTime.Today.AddDays(2).Year);
DataBind();