A linear stability analysis of a plane Couette-Poiseuille flow of an electrically conducting fluid with uniform cross-flow is investigated in the presence of a transverse magnetic field. The Chebyshev spectral collocation method is utilized to obtain eigenvalues of the modified classical Orr-Sommerfeld equation. The effect of cross-flow with its sense and transverse magnetic field on the stability are examined. The results show that crossflow acts to stabilize or destabilize the flow. The cross flow’s sense produces a significant influence on the stability. This effect becomes more important in the presence of a magnetic field. The dependence of the magnetic field’s effect on the cross-flow’s sense is also presented.