Multiple input multiple output (MIMO) radar exhibits several advantages with respect to traditional monostatic radar by exploiting transmit waveform diversity. Achieving high resolution requires a large number of transmit and receive antennas. In addition, the digital processing is performed on samples of the received signal at its Nyquist rate, which can be high. Overcoming the rate bottleneck, sub-Nyquist sampling methods have been proposed that break the link between monostatic radar signal bandwidth and sampling rate. In this work, we extend theses methods to MIMO radar and apply the Xampling framework both in the time and spatial domains, achieving reduction in the number of deployed antennas and the number of samples per receiver, without degrading the time and spatial resolutions.