Effects of magnetic field and hydrostatic pressure on martensitic transformations in some ferrous and nonferrous alloys have been studied. The studies clarified the effects of magnetic field and hydrostatic pressure on martensitic transformation start temperature, magnetoelastic martensitic transformation, morphology of martensites and transformation kinetics of athermal and isothermal transformations. That is, transformation start temperatures of all the ferrous alloys examined increase with increasing magnetic field, but those of non-ferrous, such as Ti-Ni and Cu-A1-Ni shape memory alloys, are not affected. On the other hand, transformation start temperature decreases with increasing hydrostatic pressure in some ferrous alloys, but increases in Cu-A1-Ni alloys. The magnetic field and hydrostatic pressure dependences of the martensitic start temperature are in good agreement with those calculated by the equations proposed by our group. In the work on the Fe-Ni-Co-Ti alloy, we found that magnetoelastic martensitic transformation appear. In addition, several martensite plates grow nearly parallel to the direction of applied magnetic field in the specimen of an Fe-Ni alloy single crystal. Moreover, we found that the isothermal process in an Fe-Ni-Mn alloy changes to the athermal one under magnetic field and the athermal process changes to the isothermal one under hydrostatic pressure. Based on the facts, a phenomenological theory is constructed, which unifies the two transformation processes.