A simple model of the optical communication channel with an account of clouds is proposed which allows one to calculate the probability of detection of a pulse optical signal transmitted through a cloud layer. The integral characteristics of the radiation are calculated using the relations obtained as a result of fitting the data of numerical experiments. The actual impulse response of the receiving device is taken into account in the calculations. The developed programs have high portability and allow one to operate in the interactive mode. The conditions of detection of pulsed optical signals for typical parameters of the receiving-transmitting system are found.