We demonstrate for the first time a CW all-polarization maintaining (PM) all-fiber optical parametric oscillator (FOPO) based on a birefringent photonic crystal fiber pumped by a tunable linearly polarized ytterbium-doped fiber laser. The all-PM FOPO features polarization-adjustment-free tunable operation in wavelength range from 920 to 1000 nm for both the slow and the fast fiber axes with output power reaching 1.3 W.