In fifth-group element superconductors V, Nb, and Ta, the increase in superconducting transition temperature (T c) was attempted by using both high-pressure torsion (HPT) and additional hydrostatic pressure (HP) compression. The former brings about the grain refinement and strain accumulation in the unit-cell level. The additional compression for severely strained superconductors triggers strengthening intergrain-contact and/or structural deformation in the unit-cell level. The manner of the appearance of the above two effects depends on the kind of elements: First, in V, there is no prominent effect of HPT, comparing to the hydrostatic compression effects on its non-strained material. Next, in Ta, the effect of strengthening intergrain-contact appears at small hydrostatic compression, resulting in temporal increase in T c. Finally, Nb exhibits prominent increase in T c by both effects and, in particular, the structural deformation in the unit-cell level promotes the increase in T c. Thus, the accumulation of residual strain in the level of starting material can be a promising work to manipulate T c under HP compression.