Myocardial perfusion imaging is a promising tool to determine the downstream effects of blocked coronary arteries. Ungated perfusion imaging is a promising alternative to conventional ECG-gated acquisitions. Existing ungated methods can acquire only 4-5 short-axis slices often with large slice gaps. Continuous and complete coverage is desired in order to avoid missed regions of perfusion deficit. Here we use an undersampled radial simultaneous multi-slice (SMS) acquisition to obtain complete coverage of the left ventricle. We use a block matching constrained reconstruction that is robust to inter-time frame cardiac and respiratory motion. We obtain 12 short axis slices in ~250 msec.