We study static non-axial octupole deformations in proton-rich Z = N nuclei, Ge, Se, Kr, Sr, Zr and Mo, by using the Skyrme Hartree-Fock plus BCS calculation with no restrictions on the nuclear shape. The calculation predicts that the oblate ground state in Se is extremely soft for the Y33 triangular deformation, and that in Zr the low-lying local minimum state coexisting with the prolate groun...