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Using 2.93 fb−1 of 𝑒+𝑒− annihilation data collected at a center-of-mass energy √𝑠=3.773 GeV with the BESIII detector operating at the BEPCII collider, we search for the semileptonic 𝐷0(+) decays into a 𝑏1(1235)−(0) axial-vector meson for the first time. No significant signal is observed for either charge combination. The upper limits on the product branching fractions are ℬ𝐷0→𝑏1(1235)−𝑒+𝜈𝑒·ℬ𝑏1(1235) −→ 𝜔𝜋−<1.12×10−4 and ℬ𝐷+→𝑏1(1235)0𝑒+𝜈𝑒·ℬ𝑏1(1235)0→𝜔𝜋0<1.75×10−4 at the 90% confidence level.