The magnetotransport properties and magnetocaloric effects of the compound Mn1.95Cr0.05Sb0.95Ga0.05 have been studied. With decreasing temperature, a spontaneous first-order magnetic phase transition from ferrimagnetic (FI) to antiferromagnetic (AF) state takes place at Ts=200K. A metamagnetic transition from the AF to FI state can be induced by an external field, accompanied by a giant magnetoresistance effect of 57%. The magnetic entropy changes are determined from the temperature and field dependence of the magnetization using the thermodynamic Maxwell relation. Mn1.95Cr0.05Sb0.95Ga0.05 exhibits a negative magnetocaloric effect, and the absolute values of △Smax M (T, △H) are 4.4, 4.1, 3.6, 2.8 and 1.5 J/(kg.K) for magnetic field changes of 0-5T, 0-4T, 0-3T, 0-2T and 0-1T,respectively.