The effect of the temperature anisotropy on the lower hybrid drift instability (LHDI) in a current sheet is investigated using local kinetic theory. It is found that the ratio r te of the perpendicular to parallel electron temperatures can significantly affect the instability. In fact, a critical value exists r te = r * te , such that when r te > r * te the LHD waves are unstable if the perpendicular wave vector k y is between two threshold values, and when r te < r * te the LHD mode is stable for any k y . It is also found that r * te increases and the unstable LHD regime shrinks as the parallel wave vector k z increases. That is, sufficiently low perpendicular electron temperature can stabilize the LHDI, especially that of short parallel wavelength.