In a method and apparatus for accelerating MR temperature imaging used in MR-monitored high intensity focused ultrasound (HIFU) therapy, temperature changes are determined at the focus of the ultrasound during MR temperature imaging; determining the ideal acceleration rate needed for data sampling according to the temperature changes at said focus is determined, the variable-density (VD) data sampling in k-space is adjusted according to the determined ideal acceleration rate, and the data obtained from sampling are reconstructed to form an image. The capability of accelerating MR temperature imaging with both good temporal resolution and good spatial resolution is improved by determining the acceleration rate according to temperature changes at the ultrasound focus and by adjusting the VD data sampling of k-space and thereby the benefits of good flexibility, feasibility and stability are achieved.