A method and an apparatus for preparation of micronutrient supplement granules are provided. The preparation method comprises physically extruding, grinding and screening a micronutrient to obtain micronutrient supplement granules with a granule diameter of 35 µm to 380 µm and granule strength of greater than 10 N. The preparation method has low cost, and the strength of the product obtained is high. The preparation apparatus includes a tablet press, a first grinding and granulating machine, and a screening unit, in which a discharge end of the tablet press is connected with a feed end of the first grinding and granulating machine, a discharge end of the first grinding and granulating machine is connected to the feed end of the screening unit, the screening unit includes a primary screening machine and a secondary screening machine, a feed end of the primary screening machine is connected to the discharge end of the first grinding and granulating machine, and the discharge end of the primary screening machine is connected to the feed end of the secondary screening machine, in which a screen of the primary screening machine is a square-mesh screen, and a screen of the secondary screening machine is a round-mesh screen. The apparatus has high production efficiency, and the quality of the obtained product is high.