  This work consists of two parts. In the first part, we consider a compact
connected strongly pseudoconvex CR manifold $X$ with a transversal CR $S^{1}$
action. We establish an equidistribution theorem on zeros of CR functions. The
main techniques involve a uniform estimate of Szeg\H{o} kernel on $X$. In the
second part, we consider a general complex manifold $M$ with a strongly
pseudoconvex boundary $X$. By using classical result of Boutet de
Monvel-Sj\"ostrand about Bergman kernel asymptotics, we establish an
equidistribution theorem on zeros of holomorphic functions on $\overline M$.
