Glacial tills are widespread across North America, northern and central Asia, and northern Europe where they are also found under the Baltic, North and Norwegian Seas. Their geological and geotechnical characterisation is important to a wide range of onshore and offshore engineering projects. One aspect of tills on which little has been reported is their mechanical anisotropy. This paper reports coordinated hollow cylinder apparatus (HCA) tests, triaxial shearing and small-strain stress probing experiments, supported by index testing, on high-quality samples of a natural low-to-medium plasticity, high OCR, stiff clay-till from the Bolders Bank Formation at Cowden, near Hull in the UK. Material variability and sampling bias is inevitably introduced by the till's erratic gravel particles and fissure systems, and these aspects are addressed carefully. The experiments investigated the till's stiffness and shear strength anisotropy from its limited linear elastic range up to ultimate failure, showing that stiffnesses are higher in the horizontal direction than in the vertical and that higher undrained shear strengths develop under "passive" horizontal loading than "active" vertical loading. Comparisons are made between the till's patterns of anisotropy and those applying to previously studied sediments and reference is made to in-situ stiffness measurements. The important implications of anisotropic behaviour for geotechnical design and the interpretation of field tests are emphasised.