We present 1.1, 1.6, and 2.2 mum images of the cores of the Local Group gal
axies M31 and M32 obtained with the Near Infrared Camera and Multi-Object S
pectrometer of the Hubble Space Telescope (HST). These images are also comp
ared with optical images of the galaxies obtained with the HST Wide Field P
lanetary Camera 2 (WFPC2). In M31, the nucleus remains distinctly asymmetri
c in all of the infrared bands, with no evidence of concentrated dust, alth
ough the distinction between the two nuclei, P1 and P2, is not as strong as
in the WFPC2 and earlier WF/PC-1 images. This result is nonetheless consis
tent with the model of the nucleus as an eccentric stellar disk produced by
the dynamical influence of a central supermassive black hole. Several indi
vidual M giant stars are detected within similar to3" of the nuclei and may
represent stars that have escaped from the disk and phase-mixed around the
nuclear center of mass. In M32 we also do not find strong evidence of dust
, and the brightness profiles within the central similar to1" of the infrar
ed images can be fitted by a power law of the same form as that fitted to t
he optical images. The infrared color profiles of the central few arcsecond
s of M32 show no strong gradients and indicate a population dominated by K
giant stars. This is consistent with recent ground-based spectroscopy and p
hotometry of the core region, which similarly show no strong gradients in a
ge or metallicity within its stellar population.