We propose a tilt interferometer to search for gravitational wave (GW) signals at high frequencies. The torque caused by a cross-polarized gravitational wave passing through the mirrors in an interferometer can result in a tilt motion, which generates a TEM10 transverse mode of the cavity. The GW signal can then be detected as a beating between the TEM00 and TEM10 modes. There are two types of mirror motion that are relevant: the aforementioned rotation, as well as a translation in parallel to the front surface of the end mirror, in the local reference frame of the input test masses. We estimate that possible implementations could achieve a strain sensitivity of ∼7 10-22 Hz-1/2 in the frequency band of 100-500 kHz, limited by thermal and shot noises. A preliminary design for a prototype detector with a 74m optical cavity is presented.