We propose Turbo-coded two-dimensional (2-D) free-space optical (FSO) CDMA systems for broadband access networks. The performance bound for the proposed system over atmospheric turbulence channels is obtained considering multiple-access interference (MAI) and receiver noise. The results show that the proposed system offers a better performance than that of previously proposed ones. Also, it has a better tolerance to the atmospheric turbulence and the increase in the number of users.