It is well accepted that the small strain stiffness (0.001% – 0.01%) of most natural soils is anisotropic to a certain degree. Hence, elastic moduli G_h ≠ G_v and E_h ≠ E_v. It is also acknowledged that measuring the cross-anisotropic properties of soils is very difficult due to the complexity of determining the five independent parameters needed to describe a transversely isotropic soil. These parameters are the Poisson’s ratios (μ_vh and μ_hh) and the stiffness parameters (G_vh, E_h, E_v). Glacial clay tills, and glacial deposits in general, have a complex formation history. Generally, they are over-consolidated, stiff, have low sensitivity, are primarily incompressible, and have relatively low moisture content. Very little investigation of the small strain anisotropy of Canadian glacial clay soils has been conducted. This paper reports on a study of a series of tests conducted using a resonant column device and orthogonal Bender element pairs to examine the degrees of anisotropy of five different natural deposits located in Canada. Comparisons have been made wit the results of other studies on stiff overconsolidated clays found in the literature.