Effects of magnetic field and hydrostatic pressure on martensitic transformation have been examined by using Fe-Pt, Cu-Al-Ni, Ni 2 MnGa and Fe-Pd shape memory alloys and Fe-Ni alloys. Following results are obtained; (i) in Fe-Pt, Cu-Al-Ni and Fe-Ni alloys, the experimental magnetic field and/or hydrostatic pressure dependence of martensitic transformation start temperature, M s , is in good agreement with the dependence calculated by the equation previously proposed by our group to evaluate the relation between M s and magnetic field and hydrostatic pressure. (ii) Giant magnetostriction has been observed in the martensite state of Ni 2 MnGa and Fe-31.2 at%Pd ferromagnetic shape memory alloy single crystals. The values (contraction of 3.8% for Ni 2 MnGa and expansion of about 3% for Fe-31.2 at%Pd) are nearly the same values as can be expected from the perfect conversion of variants, i.e., variants are converted to preferable variants whose magnetocrystalline anisotropy energy is minimum among them under the magnetic field.