Considered system consists of two renewable channels that connected in parallel. The system operates in a random environment having k states. The functioning of both components are described by two continuous time alternating processes. The sojourn time in the state 0 (work state) of both channels has exponential distribution with parameters μ1,i and μ2,i if the random environment has state i. The sojourn times in the state 1 (failed state) have general absolute continuous distributions. These sojourn times are independent and doesn’t depend on the random environment state too. The system is working at time t if at least one channel is working. The system reliability on given time interval is calculated for the known initial states of the components.