In this paper, several refinements of the Berezin number inequalities are obtained. We generalize inequalities involving powers of the Berezin number for product of two operators acting on a reproducing kernel Hilbert space H = H(Omega) and also impmve them. Among other inequalities, it is shown that if A,B is an element of B(H) such that vertical bar A vertical bar B = B* vertical bar A vertical bar. f and g are nonnegative continuous functions on [0,infinity) satisfying f(t)g(t) = t (t >= 0). then