  In this paper, we proved that there exist four distinct diffeomorphism
classes of three-dimensional real Bott tower $M(A)=(S^1)^3/(\mathbb{Z}_2)^3$,
and 12 distinct diffeomorphism classes of four-dimensional real Bott tower
$M(A)=(S^1)^4/(\mathbb{Z}_2)^4$, where matrix $A$ corresponds to the action of
$(\mathbb{Z}_2)^n$ on $(S^1)^n$ for n=3,4.
