Magnetic Resonance guided High Intensity Focused Ultrasound (MRgHIFU) treatment is a low invasive tumor treatment using high energy from an ultrasound. The transducer generates sound wave and focuses a heat point within the body to eliminate the tumor. In heating, it is necessary to monitor the condition at the target area for safe and effective treatment. Magnetic Resonance Imaging(MRI) can monitor the target condition and temperature distribution during treatment. However, the acquisition time of MR data is long and has to be shortened to track the focal point. In this research, a rapid acquisition and reconstruction method using compressed sensing MRI is proposed. In order to reduce the number of phase encode times, k-space was divided into regions. Then, the value of the gradient was used to shorten the signal restoration time. In the computational experiments, image quality and temperature error were evaluated.