In this work, a new memristor-based high-pass filter/amplifier topology which is suitable for analog signal processing applications is designed and analyzed. Memristor is used as the negative feedback element and a high-pass R-C filter as input impedance in an inverting amplifier topology. To the best of our knowledge, for the first time in the literature, such a memristor-based active circuit with adjustable gain, constant cutoff frequency, and high-pass filter characteristic is examined and its dynamic and analytic models are given. Its time-domain analysis and simulations are done. Circuit gain and total harmonic distortion are inspected in frequency domain. It is shown that the results of both analytical and dynamical models are in good agreement. It is found that the filter distortion is very low at operation frequencies.