In this paper, we investigate the structural, electronic and magnetic properties of CoFeCrZ ([Formula: see text], As,Sb) quaternary Heusler alloy, using the first-principles full potential linear muffin-tin orbital (FP-LMTO) method within the spin gradient generalized approximation (GGA) for the exchange and correlation potential. Our results demonstrate that in ferromagnetic phase, the all alloys CoFeCrZ are stable in type-1 configuration and are half-metallic ferromagnets (HMF) with gaps of 0.99[Formula: see text]eV, 0.57[Formula: see text]eV and 0.70[Formula: see text]Ev, respectively. The obtained negative formation energy shows that CoFeCrZ alloys have strong structural stability. The calculated total magnetic moment, [Formula: see text] for all alloys exhibit Slater-Pauling rule, [Formula: see text]. At zero pressure, the three alloys shown 100% spin-polarization at Fermi–level [Formula: see text] with high Curie temperatures [Formula: see text]. Our calculation indicate also that the half-metallicity and high magnetic moment of CoFeCrP, CoFeCrAs and CoFeCrSb are robust against the lattice compression (up to 7.80%, 5.40% and 11%, respectively). On the basis of these results, it is suggested that the CoFeCrZ Heusler could be suitable for spintronics devices applications.