In this paper, we construct an adaptive modulation and coding (AMC) protocol for a wireless communication system model that contains a transmitter, receiver and relay. The constructed AMC model is simulated and compared with non-cooperative AMC model. In cooperative AMC model, a willing to cooperate relay listens the ongoing transmission between transmitter and receive, and helps transmitter if it is necessary. Channel is assumed as slow changing Nakagami-m fading. Channel is modelled as Markov chain and each AMC mode is assigned to a Markov state. The effect of target packet error rate (PER) is investigated. Simulation results shows that constructed cooperative AMC model provides performance gain.