In this work, we investigate the effect of high pressure on the conductivity in the basal plane of the high temperature super conducting (HTSC) single crystals HoBa2Cu3O7-δ. It is determined that the excess conductivity Δσ(T) of the HoBa2Cu3O7- δ single crystals in the temperature interval near the critical temperature (Tc) is described within the framework of the Aslamazov-Larkin theoretical model. It is shown that the evolution of the transverse coherence length ξc(0) in the case of application/removal of high pressure is largely determined by the “relaxation” pressure effect during prolonged exposure of the sample under load at room temperature.