The effect of the loading rate on the strength of the interface of bonds of UKN-5000-P carbon fibres ≈7 μm in diameter with thermosetting (EDT-10 epoxy binder) and thermoplastic (PSK-1 polyarylene sulfone) matrices was investigated. The adhesive strength τ0 of the bonds was determined in shear of a monofilament relative to the polymer layer (pull-out method). It was found that the adhesive strength τ0 of the systems investigated is a linear function of the logarithm of the rate of increase in shear stresses\(\dot \tau :\tau _0 = C_1 + C_2 log \dot \tau \). Constants C2 characterizing the kinetics of failure of the interface were determined. A comparison of the data obtained with previously published results showed that in quasistatic loading, the linear correlation between τ0 and log holds for polymer—fibre bonds with different components.