IODP Site U1437 is located in the Izu rear-arc region, approximately 330 km west of the Izu-Bonin trench axis. The oldest four units (Units IV through Unit VII) include volcaniclastic sediment and in situ hyaloclastites. They have ages of about 6-15 Ma, shortly after cessation of Shikoku backarc basin opening. Three magma types are identified by their distinct geochemistry; they are similar types to those found in the modern Izu arc (Rear Arc Seamount Chain [RASC]-type, Rift-type, and volcanic front [VF]-type). RASC-type has the most enriched Nd and Hf isotope and fluid-immobile trace element ratios and dominates from 9 to 6 Ma. Rift-type, dominant from 15 to 9 Ma, is similar to VF-type in Nd-Hf isotopes but has the least radiogenic Sr and Pb, and intermediate La/Yb and Nb/Yb, indicating a more fertile mantle source and less hydrous slab component than VF-type. Less common and randomly distributed VF-type sediments have the most radiogenic Sr and Pb, and the highest Ba/(Th, LREE [light rare earth element]) ratios, and are interpreted to be distally derived. The genesis of mafic Unit VII samples (~15 Ma) was modeled using the Arc Basalt Simulator. Results are most similar to those for basalts in the modern rift environment indicating the addition of~1% of a melt-rich slab component generated at~125 km, to a Philippine Sea Plate ambient mantle that was more depleted than DMM (depleted MORB mantle). The initial post-Shikoku basin magmatism in the Izu rear-arc generated Rift-type magmas for about 6 million years before the distinctive RASC-type magmatism began, which then became increasingly enriched. Plain Language Summary We explore the history of magma genesis in the Izu rear-arc, Japan, by studying the geochemistry of volcaniclastic sediments that were obtained by ocean drilling. This paper presents their Sr-Pb-Nd-Hf isotope ratios and numerical models of magma genesis. We identify the presence of three geochemical types that change through time. Rift-type formed soon after cessation of seafloor spreading in the Shikoku Basin at~15 Ma and came from a more fertile mantle source with a less hydrous slab component than at the contemporaneous volcanic front. This type is most like basalts from rifts behind the current volcanic front and was unknown before drilling. RASC-type dominates from 9 to 6 Ma and has more enriched Nd and Hf isotope and fluid-immobile trace element ratios that are like those of rocks dredged from the coeval rear-arc seamount chains. VF-type is uncommon, randomly dispersed, and interpreted as derived from the distal volcanic front. The results confirm that the arc front has migrated trenchward since the Miocene.