Let f be a measurable function on the unit ball B in $C^n$, then we define a maximal function $M_p(f), 1 leq p < infty$, by $$ M_p(f)(zeta ) = sup_{delta > 0}(frac{1}{sigma(eta(zeta, delta))} int_{T(eta(zeta, delta))} $mid$f(z)$mid$^p frac{d u(z)}{(1-$mid$z$mid$^n})^{1/p} $$</TEX> where $</TEX>sigma$ denotes the surface area measure on S, the boundary of B, and $T(eta(zeta, delta))$ denotes the tent over the ball $eta(zeta, delta)$. We prove that the maximal operator $M_p$ belongs to the Muckenhoupt class $A_1$.