A method and an apparatus for spinning and crimping a synthetic multifilament yarn, wherein a filament bundle is spun from a polymer melt and compressed to a yarn plug. The yarn plug is advanced at a cooling speed and cooled within a cooling zone in a moving cooling groove. After cooling, the yarn plug is disentangled to form a crimped yarn, with the latter being wound to a package. To obtain an adequate cooling of the yarn plug and, with that, a stable and highest possible crimp in the yarn, the method of the invention provides for selecting the length of the cooling zone and the cooling speed of the yarn plug such that the yarn plug is cooled in the cooling groove over a period of at least 1 second. To this end, the apparatus of the invention includes a cooling groove, whose width is dimensioned such that the yarn plug can be advanced in meander form in a plurality of superposed layers.