The development of the low power wide area network (LPWAN) for the internet of things (IoTs) is expected to grow widely, allowing remote monitoring of smart devices from a distance of up to several kilometers. This paper studies the performance and success probability of multi-cell LoRa networks. Using tools of stochastic geometry, the paper analyzes the important metric namely success probability in both Rayleigh and Rician channel models. The obtained analysis helps investigate and evaluate other quality criteria in the multi-cell LoRa network such as throughput, SNR and SIR requirements. Moreover, we provide numerical simulation results to corroborate the theoretical analysis and to verify how our analysis can characterize the given reliability target.