Temperature dependence of the Hall coefficient and the resistivity in Tl2Ba2CaCu2Oy (Tl-2212),Tl2Ba2Ca2Cu3Oy (Tk-2223) and Cu0.7C0.3Ba2Ca3Cu4Oy (Cu-1234) have been measured under high pressure up to 6 GPa. The values of the intrinsic T-c enhancement not related to charge transfer by applied pressure were estimated to be similar to0.8K/GPa for the Tl system and similar to1.1K/GPa for Cu-1234.