The flow stress in tensile and compressive deformation has been determined in cast Mg, for a wide range of grain sizes between 36 mum and 1.5 mm. The grain size was varied by alloying Mg with small amounts of Zr. It was found that the 0.2% offset flow stress, sigma(y) (MPa), varies with the grain size, d (m), as sigma(y) = 17.7 + 0.25 d(-1/2) in tension, while sigma(y) = -2.3 + 0.39 d(-1/2) in compression. Possible reasons for the difference between tension and compression are discussed.