Magnetic Resonance Fingerprinting (MRF) is a novel transient state relaxometry method that simultaneously estimates multiple quantitative tissue parameters. Motion occurring during the MRF acquisition can propagate errors into the parametric maps. Here we propose a novel motion corrected low rank method (MC-MRF) to simultaneously correct for rigid body motion and accelerate the scan. We investigated MC-MRF to correct for 2D in-plane motion on standardized phantom and in-vivo acquisitions. Additionally, we investigated the effect of through-plane motion in 2D MRF. Successful motion correction is achieved with MC-MRF for in-plane motion. Residual artefacts remain from through-plane motion after 2D retrospective motion correction.