It is proved that the central limit theorem for general bootstrap empirical process with random resample size indexed by a class of functions F and based on a probability measure P holds a.s. if F E CLT(P), f F2dP 00, ||Pn - P|| G -- a.s. 0 and the random resample size {Nn} satisfies Nn/n -- pv, where F = sup fEF|f|, Pn is the empirical measure, v is a positive random variable, G = F U F2 U F'2, F2, and F'2 denote the classes of squared functions and squared differences of functions from F, respectively. The bootstrap general empirical process with random resample size is also considered in the case where the resample size is independent of the original sample and of the bootstrap sample.