In this paper, assuming Intensity-Modulation/Direct Detection (IM/DD) with On-Off Keying (OOK), a novel expression for average BER of FSO over Exponentiated Weibull (EW) atmospheric turbulence channel is derived. In the free space optical (FSO) channel the optical signal suffers from irradiance and phase fluctuations caused by the atmospheric turbulence, which results in Bit Error Rate (BER) performance degradation. We investigate the aperture-averaging effect on BER performance under weak and moderate turbulence regime. In our work we consider EW distribution which is more accurate in the presence of finite-size receiving apertures under weak and moderate turbulence regime.Keywords ─ bit-error rate (BER), on-off keying (OOK), intesity modulation/direct detection (IM/DD), Exponentiated Weibull (EW) distribution, free space optical communication (FSO) , aperture averaging effect.