In this paper, some analytical results for general order selection (GOS) over independent but not necessarily identically distributed (i.n.d.) Weibull and Nakagami fading channels are presented. The GOS model is important in multiuser scheduling. By transforming the probability density function (pdf) of the selected channel signal to noise ratio (SNR) into an appropriate form, exact closed-form expressions for the corresponding moment generating function (MGF) and general moments are derived for Weibull fading channels. Using the derived results together with those in R. Kwan and C. Leung (2005), exact closed-form expressions for the symbol error rate are obtained for a number of modulation schemes over the i.n.d. Weibull and Nakagami fading channels. Numerical results show that for the same average channel gains, the performance over i.n.d. channels may be better or worse than over i.i.d. channels