Respiratory heart motion during T1 data acquisition can lead to strong motion artefacts, compromising the quality of reconstructed T1 maps. Commonly, breathhold techniques are used to minimize respiratory motion but they suffer from low scan efficiency and require patient cooperation. Here, we propose a Pilot tone-based respiratory motion correction approach for free-breathing myocardial T1 mapping. First, through-plane motion is corrected for by performing prospective slice tracking online during data acquisition. Second, in-plane motion is corrected for retrospectively by applying a phase shift to k-space data before image reconstruction. The feasibility of the proposed approach was demonstrated in four healthy volunteers.