The Femtocell becomes an effective solution to support indoor high data rate services. The macrocell systems require expensive costs to improve the performance of indoor users. Although the advantage of the femtocells, the co-channel interference between the femtocells and the macrocells is the most significant problem to deploy femtocells. In this paper, a novel downlink resource management algorithm for OFDMA femtocells using the stochastic subchannel allocation is proposed. The stochastic subchannel allocation selects available subchannels used by the femtocells to reduce the interference. Monte-Carlo simulation results show the performance of the proposed algorithm in terms of the average user throughput.