Compressed sensing (CS) is an emerging technology to speed up magnetic resonance imaging (MRI). Since most clinical MRI scanners are equipped with multi-channel receiver systems, there has been a number of works to integrate CS with multi-channel systems. In this paper, we propose a method that extends the reweighted l(1) minimization to the CS MRI with multi-channel data. The simulated experimental results show that the new method can provide improved reconstruction quality.