In this paper, we derive throughput of a threshold-based transmission policy, namely load-regulated CSMA, taking into account the propagation delay of the medium and the offered load at different probability of the fading channel. In case of the saturated load regulated CSMA, a trivial relationship between deterministic offered load to the channel at a particular fading channel condition and the maximum possible offered load has been shown. We further extend the load regulation concept into multi-channel domain. Both single and multi-channel load regulated CSMA improves the throughput of the system compared to the existing CSMA system which does not consider channel fading to control the packet transmissions.