Strain effects in double perovskite Y2MnCrO6 are theoretically studied. Octahedral distortion is progressively relieved with c-axis tensile strain. Paraelectric to multiferroic phase transition occurs at c-axis strain of −0.3%. Ferrimagnetic to ferromagnetic phase transition occurs at c-axis strain of 2.2%. Electric polarization decreases monotonously with stretching the a-axis.