  Real Bott manifolds is a class of flat manifolds with holonomy group $\mathbb
Z_2^k$ of diagonal type. In this paper we want to show how we can compute even
Stiefel - Whitney classes on real Bott manifolds. This paper is an answer to
the question of professor Masuda if is it possible to extend A. G\k{a}sior
"Spin-structures on real Bott manifolds" (J. Korean Math. Soc. {\bf 54},
(2017), no. 2, 507 - 516) and compute any Stiefel-Whitney classes for real Bott
manifolds. It also extends results of A. G\k{a}sior, A. Szczepa\'nski "Flat
manifolds with holonomy group $Z_2^k$ of diagonal type" (Osaka J. Math. {\bf
51} (2014), 1015 - 1025).
