Ahypothetical pseudoscalar particle axion, which is an immediate result of the Peccei-Quinn solution to the strong CP problem, may couple to gluons and lead to an oscillating electric dipole moment (EDM) of fundamental particles. This paper proposes a novel method of probing the axion-induced oscillating EDM in storage rings, using a radio frequency (rf) Wien filter. The Wien filter at the frequency of the sidebands of the axion and g - 2 frequency, f(axion) +/- f(g-2), generates a spin resonance in the presence of an oscillating EDM, as confirmed both by an analytical estimation of the spin equations and independently by simulation. A brief systematic study also shows that this method is unlikely to be limited by Wien filter misalignment issues.