New high-speed photometric observations of the pulsating DA white dwarf GD 165 are presented. The Fourier spectrum of the light curve of GD 165 exhibits two main regions of power at 120 and 193 s. The presence of a high-amplitude long period mode near ∼1800 s reported by Bergeron and McGraw is not confirmed by these new observations. Light curves obtained with the Canada-France-Hawaii Telescope reveal previously undetected low-amplitude harmonic oscillations. Observations with the Whole Earth Telescope are used to resolve the two principal regions of power. The 120 and 193 s peaks are shown to be multiplets composed of at least three, and possibly five frequency components. The most likely explanation is that these two peaks correspond to nonradial gravity modes with different values of the radial order k and with l=1 or 2 split into 2l+1 components by slow rotation