We present here paleomagnetic and magnetic anisotropy data from discrete samples collected in the middle Eocene to early Miocene sediment recovered in International Ocean Discovery Program (IODP) Sites U1507 and U1511 (Expedition 371, Tasman Sea, 27 July to 26 September 2017). Data consists of three tables (Table S2, S3, S4). Table S2 contains the paleomagnetic directions from discrete specimens collected in both Hole U1507B and Hole U1511B. The samples were measured for their paleomagnetic signal at the University of Bremen (Germany) between 2019 and 2021. Paleomagnetic inclinations are listed before and after correction for inclination shallowing. Table S3 contains the anisotropy of magnetic susceptibility (AMS) of representative specimens from Hole U1507B. Table S4 contains the anisotropy of anhysteretic remanent magnetization (AARM) of representative specimens from Hole U1507B. Both the AMS and AARM data of tables S3 and S4 were acquired at the University of Turin (Italy) between 2020 and 2021. These data were used for determining the absolute paleolatitude of northern Zealandia between the middle Eocene and the early Miocene (Dallanave et al., 2022; doi:10.1029/2022JB024736).