  In this paper we introduce a new method for constructing coherent states for
2D harmonic oscillators. In particular, we focus on both the isotropic and
commensurate anisotropic instances of the 2D harmonic oscillator. We define a
new set of ladder operators for the 2D system as a linear combination of the x
and y ladder operators and construct the $SU(2)$ coherent states, where these
are then used as the basis of expansion for Schr\"odinger-type coherent states
of the 2D oscillators. We discuss the uncertainty relations for the new states
and study the behaviour of their probability density functions in configuration
space.
