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With the advances of the 4th generation (4G) mobile communications targeting multi-user QoS-guaranteed multimedia services, multiple input multiple output (MIMO) combined with multi-level quadrature amplitude modulation (M-QAM) technique gains great popularity for its capability of supporting high data rate. In this article, the statistical distribution of signal to noise plus interference ratio (SINR) in each recursive step of optimal ordered zero-forcing perfect successive interference cancellation (ZF-OOPSIC) detection is deduced based on order statistics theory. The symbol error rate (SER) of M-QAM MIMO system with ZF-OOPSIC detector is analyzed under flat Rayleigh fading channel. This precise analytical SER result could be taken as the lower bound of various zero-forcing ordered successive interference cancellation (ZF-OSIC) receivers. Combining the analytical SER expression for linear zero-forcing (ZF) receiver as upper bound, the rough range of SER for various ZF-OSIC detectors could be obtained. Monte Carlo (MC) simulations validate the analytical results and prove the conclusions.