Is it possible identical twins can have the same gender of a child? what's the possibility?

50 percent.: 25 percent for both twins have a boy, 25 percent for both twins have a girl. If you don't mind which sex, then 50 percent.

If you are asking: if two identical twins, say both are women giving birth at the same time, have a higher chance of having the same gender for their babies, then the answer is no. The probability is 50% for 1 twin mother and 50% for the other twin mother delivering both a boy, 0.5 x 0.5 = 0.25 or 25%, but adding to the same probability for a girl. So 25% both girls + 25% both boys = 50%.