Magnetic resonance guided high intensity focused ultrasound (MRgHIFU) ablation is a promising technique for the treatment of hepatic and renal cancers. In this approach, the HIFU system is used for ablating the tumor using local heating while the MRI scanner provides online temperature measurements which enable continuous monitoring of the delivered thermal dose. The application of MRgHIFU ablation for abdominal organs is challenging. Many technical developments have addressed the major issues associated with this procedure such as the physiological motion of abdominal organs. In this chapter, we present the different techniques which have been developed to alleviate the problem of physiological motion for MRgHIFU ablation of abdominal organs.