The degradation of the performance in wireless non-line-of-sight ultraviolet (UV) communication is due to the presence of the intersymbol interference. Lenst mean square (LMS) class and constant modulus algorithm (CMA) equalizer are studied based on on-off key (OOK) modulation. The results indicate that the bit error rate (BER) is so high that only low bit rate communication can be used. The convergence rate is very slow for LMS equalizer on UV channel, BER is nearly not affected by equalizer tap numbers and step size has an optimal value. The relations between parameters of two variable step size LMS algorithms and BER are obtained. It is proved that UV channel is a minimum phase system and can use blind equalizer. BER is not sensitive to the step size and tap number for CMA blind equalizer.