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We present results from a combined multichannel seismic reflection (MCS) and wideangle onshore/offshore seismic experiment conducted in 1996 across the southeast Greenland continental margin. A new seismic tomographic method is developed to jointly invert refraction and reflection travel times for a two‐dimensional velocity structure. We employ a hybrid ray‐tracing scheme based on the graph method and the local ray‐bending refinement to efficiently obtain an accurate forward solution, and we employ smoothing and optional damping constraints to regularize an iterative inversion. We invert 2318 Pg and 2078 PmP travel times to construct a compressional velocity model for the 350‐km‐long transect, and a long‐wavelength structure with strong lateral heterogeneity is recovered, including (1) ∼30‐km‐thick, undeformed continental crust with a velocity of 6.0 to 7.0 km/s near the landward end, (2) 30‐ to 15 …