Let \(\Omega\) be a bounded strictly pseudoconvex domain in \(\mathbb{C}^ n\) with \(C^ \infty\) boundary which has the special finite covering by open balls. The author receives a criterion of belonging of a function \(F \in H^ 2 (\Omega)\) to BMOA in terms of Carleson measure. In contrast to the similar result of Fefferman and Stein this theorem uses some sort of second order tangential derivatives of \(F\) instead of the gradient \(F\).