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In this paper, we set up the statistical channel modelof ship-to-ship (or ship-to-shore) free space optical links considering generalized pointing error and weak turbulence. We combinevarious pointing error models with weak turbulence and derivethe composite probability density functions (PDF) for each case ofpointing error model. Also, using the similarity of the compositePDFs, we obtain a unified expression for the composite PDF. Furthermore, we conduct error rate analysis based on both intensitymodulation and direct detection (IM/DD) and heterodyne detection (HD). At last, the numerical results confirm that the derivedaverage error rate gives precise prediction on error rate.