Based on the model of high altitude platforms (HAP) position instability, the factual Hoyt distribution model which is brought by optical pointing error is constructed. Compared with the ideal Rayleigh distribution model, performance of inter-platforms is analyzed. The simulation results show that there is a similar rule between the factual model and the ideal model with the increase of divergence angle. Under the condition of the same divergence angle, the bit error rate (BER) of Hoyt distribution model is lower than that of Rayleigh distribution model. When the divergence angle is optimized, the difference between factual and ideal distribution model is the biggest. Take 0.2 of root mean square (RMS) ratio as an example, compared with the Rayleigh distribution model, the BER of Hoyt distribution model reduces approximately by 9 dB.