In this paper, the low density generator matrix (LDGM) coded scheme with unequal transmission power allocation (UTPA) in optical wireless channel is evaluated by computer simulation. In particular, the bit error rate performance of the LDGM-coded binary pulse position modulation (LDGM-BPPM) with the UTPA scheme is investigated in the presence of avalanche photo diode (APD) noise, scintillation and background noise. Consequently, the BER performance of the LDGM-BPPM with UTPA is better than that of the conventional LDGM-BPPM. It is found that there is the optimum power ratio (R). The optimum R varies with scintillation and background noise. For example, when the average received laser power is -47[dBm], the variance of scintillation is 0.1, and background noise is -45[dBm], the optimum R is 3.1. Thus, the LDGM-BPPM with the UTPA scheme is superior to the conventional LDGM-BPPM system.