Abstract: The present invention relates to single-phase solid solution magnesium alloys suitable for the applications as cast or wrought. These alloys are prepared by multi-microalloying with rare earth elements (including gadolinium, yttrium, dysprosium, samarium, lanthanum, cerium, neodymium and praseodymium). Each alloy contains 0.5 to less than 5 wt. % rare earth elements with a content of 0.05-2.0% by weight. The total amount of rare earth elements is controlled below 5% by weight in order for economical considerations. The amount of grain refiner calcium or zirconium is in the range of 0.05-0.6% by weight. These alloys can be prepared by die casting, permanent casting, chill casting, semi-solid processes, continuous casting and continuous twin roll casting.