In this paper, we deal with the design of an active fourth order Butterworth bandpass filter for Radio Frequency IDentification (RFID) system reader to reject all signals outside the band (10-20) kHz and to amplify the low antenna signal with a center frequency of 15 kHz. The Multiple Feed-Back (MFB) topology is used to implement this filter. The values of the passive components, forming the studied filter, are selected from manufactured series, this selection is one of the most crucial design steps in analog active filter design problems. Thus, intelligent search methods must be performed for a fast and optimum selection. In this study, we focus on the use of the Genetic Algorithm (GA) for the optimal design of the 4th order Band Pass Filter, accompanied with a sensitivity analysis to determine the most influential components in the considered filter. SPICE simulations supported by Monte Carlo analysis are used to validate the obtained results/performance.