Magnetic properties of the S = 1/2 antiferromagnet α-Cu2V2O7 have been studied using magnetization, Quantum Monte Carlo (QMC) simulations, and neutron diffraction. Magnetic susceptibility shows a broad peak at ∼ 50 K followed by an abrupt increase indicative of a phase transition to a magnetically ordered state at TN = 33.4(1) K. Above TN , a fit to the Curie-Weiss law gives a Curie-Weiss temperature of Θ = −73(1) K suggesting the dominant antiferromagnetic coupling. The result of the QMC calculations on the helical-honeycomb spin network with two antiferromagnetic exchange interactions J1 and J2 provides a better fit to the susceptibility than the previously proposed spin-chain model. Two sets of the coupling parameters J1 : J2 = 1 : 0.45 with J1 = 5.79(1) meV and 0.65 : 1 with J2 = 6.31(1) meV yield equally good fits down to ∼ TN . Below TN , weak ferromagnetism due to spin canting is observed. The canting is caused by the Dzyaloshinskii-Moriya interaction with an estimated bc-plane component |Dp| 0.14J1. Neutron diffraction reveals that the S = 1/2 Cu 2+ spins antiferromagnetically align in the F d d 2 magnetic space group. The ordered moment of 0.93(9) µB is predominantly along the crystallographic a-axis.