Proportional-derivative (PD) is a popular algorithm in the field of building structure vibration control, but there are infrequent broadcasted theory results of PD controller in connection to structural vibration control applications. In order to maintain minimum regulation error, a PD control requires sufficiently high proportional and derivative gains. The effect of these diminishes the transient performances of the vibration control. In this paper, a straight forward combination of PD control with fuzzy compensation is laid down. We state comprehensive sufficient conditions for choosing the PD gains. The stability theories are verified through numerical simulations and a two-story building prototype. The extracted results validates our theory analysis.