Using the first-principles calculations, the geometric, magnetic and electronic properties of two-dimensional Janus MXenes Cr2CAB (A/B = F, O, OH) were investigated. The results show that Cr2COF, Cr2CO(OH) and Cr2CF(OH) all exhibit A-type antiferromagnetic. The Janus MXene Cr2CO(OH) and Cr2COF are half-metals with the atomic orbital of Cr-d and O-p states contributing to the metal states at the Fermi level in spin up channel. However, Cr2CF(OH) is a semiconductor. Bader charge and geometric structure analyses show that the electron transfer number difference between the O2- and F-/OH- groups and the bond length difference between Cr-O and Cr-OH/F lead to an unequal interaction at the two ends, resulting in a transition from semiconductor properties of Cr2CT2 (T = F, OH) to half-metal of Cr2CAB (A = O; B = F, OH). These findings highlight the importance of surface groups on tuning the magnetic and electronic properties of MXene, which benefits to the applications of two-dimensional Janus MXenes in spintronics.