We have constructed the multigap RPC and investigated its performance in counting efficiency and the time response for the cosmic-ray muons. The multigap structure of resistive plate chamber (RPC) is supposed to be helpful to obtain reasonably large signal without degrading the time resolution. We found that an average time resolution for 3 gap RPC in avalanche mode was about 0.48 ns. The time resolution is considered to be inversely proportional to the gap size.