Coordination between sister chromatid separation and segregation is crucial for accurate chromosome partitioning to the offspring. Key to this process is the ability of mitotic spindle microtubules to respond to different molecular signals and remodel their dynamics accordingly. Based on their function, spindle microtubules are conventionally divided into three classes: kinetochore, interpolar and astral microtubules (kMTs, iMTs and aMTs, respectively). While different mechanisms have been proposed to control kMT and iMT dynamics, aMT regulation remains elusive. We here show that aMT dynamics are tightly regulated. aMTs remain unstable up to metaphase to control spindle orientation and are stabilized at anaphase onset. Necessary and sufficient for this stabilization is the degradation of the mitotic cyclin Clb4 mediated by the Anaphase Promoting Complex in combination with its activator subunit Cdc20 (APC/CCdc20). Our results contribute to delineate a comprehensive picture of late mitotic events, where individual steps of the signalling cascade initiated by APC/CCdc20 activation and culminating in cohesin cleavage time the final stages of mitosis by sequentially modulating the dynamics of the three classes of spindle microtubules.