An optoelectronic oscillator (OEO) with wide tuning range and stabilized output is proposed and experimentally demonstrated. In the proposed OEO, a narrow-passband microwave photonic filter (MPF) is implemented by a joint operation of a dispersion-induced MPF, an infinite impulse response (IIR) filter based on a double-parallel recirculating delay line, and a two-tap finite impulse response (FIR) filter based on a polarization multiplexed dual-loop. By changing the time delay difference between the two polarization states of the polarization division multiplexing emulator within the dispersion-induced MPF, the central frequency of the narrow-passband MPF can be adjusted, and the tunability of the OEO is realized. A theoretical derivation is achieved, which is verified by an experiment. Tunable oscillation signals from 8.09 to 12.1 GHz at an average tuning step of ∼500 MHz are generated. With the help of the IIR and two-tap FIR filters, the strong stability and high side-mode suppression performance of the OEO is realized, where the maximum frequency drift of the generated 8.09 GHz signal is observed to be 2.1 kHz over 1 h and its side-mode suppression ratio reaches 61 dB with a frequency span of 5 MHz. The phase noise performance of the scheme is also studied.