This paper presents a model predictive switching pattern control (MPSPC) for a current source converter (CSC), which achieves superb low-order harmonics elimination performance in steady state, and improved transient responses. Based on a proposed space vector based selective harmonic elimination (SHE) method and prediction of load current at the next sampling instant, MPSPC prefers to following a pre-calculated SHE-PWM pattern in steady state, and governing the CSC through a model predictive control (MPC) approach during transients. In comparison with existing schemes, the advantages of MPSPC are threefold: First, quantization error, introduced by a constant sampling frequency in MPC and degrading steady-state low-order harmonic elimination, is mitigated in the proposed scheme. Second, there is no weighting factor in the cost function, as used in existing schemes. Last, MPSPC is totally realized based on one-step prediction, which simplifies the structure of the scheme. Both simulation and experimental results verify the steady-state and dynamic performance of MPSPC with different SHE-PWM patterns.