Electrical resistivity of the selected Heusler off-stoichiometric (NiCo)2Mn(GaIn) alloys was studied in a wide range of temperature and magnetic field. A step-like change of resistivity (∆ρ ≈ 24 µΩcm) was detected in the offstoichiometric Ni1.85Mn1.21Ga0.94 alloy at temperature of martensitic structural transition. This ∆ρ is much more significant than one in the stoichiometric Ni2MnGa alloy. In the case of the off-stoichiometric (NiCo)2Mn(GaIn) alloys, an enormous change of resistivity, ∆ρ ≈ 200 µΩcm, accompanies the structural transition. Simultaneously, the maximum of the spin disordered resistivity ρ sd (T ) of austenite phase of the alloys is slightly dependent on composition of the alloy and vary from ≈ 30 µΩcm up to ≈ 45 µΩcm, in good agreement with theoretical calculations. Due to high sensitivity of the structural transition temperature of the alloys to magnetic field, the very pronounced magnetoresistance effects have been observed in the studied alloys.