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We investigate the electronic structure and magnetism of semi-Heusler alloys CoCrP and CoCrAs using the full-potential linearized augmented plane wave method. The calculations reveal that CoCrP and CoCrAs are half-metallic (HM) ferromagnets with the same magnetic moment of 2.00 mu(B) per formula unit. Both alloys have large half-metallic gaps (up to 0.50 eV) and wide band gaps (above 1 eV). The half-metallicity of CoCrP and CoCrAs can be retained even when their lattice constants are changed by -4.8% to 6.6% and -7.7% to 4.5%, respectively. The two alloys show great promise in the applications of spin valve and magnetic tunnel junction. (C) 2012 American Institute of Physics. [http://dx.doi.ora/10.1063/1.4742867]