PurposeTo develop a motion estimation and correction method for motion‐robust three‐dimensional (3D) quantitative imaging with 3D‐echo‐planar time‐resolved imaging.Theory and MethodsThe 3D‐echo‐planar time‐resolved imaging technique was designed with additional four‐dimensional navigator acquisition (x‐y‐z‐echoes) to achieve fast and motion‐robust quantitative imaging of the human brain. The four‐dimensional‐navigator is inserted into the relaxation‐recovery deadtime of the sequence in every pulse TR (∼2 s) to avoid extra scan time, and to provide continuous tracking of the 3D head motion and B₀‐inhomogeneity changes. By using an optimized spatiotemporal encoding combined with a partial‐Fourier scheme, the navigator acquires a large central k‐t data block for accurate motion estimation using only four small‐flip‐angle excitations and readouts, resulting in negligible signal‐recovery reduction to the 3D‐echo‐planar time‐resolved imaging acquisition. By incorporating the estimated motion and B₀‐inhomogeneity changes into the reconstruction, multi‐contrast images can be recovered with reduced motion artifacts.ResultsSimulation shows the cost to the SNR efficiency from the added navigator acquisitions is <1%. Both simulation and in vivo retrospective experiments were conducted, that demonstrate the four‐dimensional navigator provided accurate estimation of the 3D motion and B₀‐inhomogeneity changes, allowing effective reduction of image artifacts in quantitative maps. Finally, in vivo prospective undersampling acquisition was performed with and without head motion, in which the motion corrupted data after correction show close image quality and consistent quantifications to the motion‐free scan, providing reliable quantitative measurements even with head motion.ConclusionThe proposed four‐dimensional navigator acquisition provides reliable tracking of the head motion and B₀ change with negligible SNR cost, equips the 3D‐echo‐planar time‐resolved imaging technique for motion‐robust and efficient quantitative imaging.