We reported a high average power acousto-optic (A-O) Q-switched intracavity frequency-doubled red laser based on a high efficiency LED-pumped two-rod Nd,Ce:YAG laser module. Under quasi-continuous wave (QCW) operation conditions, the maximum output power of 1319.08 nm wavelength was achieved at 11.26 W at a repetition rate of 100 Hz, corresponding to the maximum optical efficiency of 13.9 % and a slope efficiency of 17.9 %. In the active Q-switched regime, the pulse energy of laser was as high as 800 μJ at a repetition rate of 10 kHz with the pulse width of 1.5 μs. Under a non-critical phase-matched KTP crystal condition, an average power 2.03 W of 658.66 nm through intracavity frequency-doubling was obtained at a repetition frequency of 10 kHz with a duration of 1.3 μs and the M2 factor was measured to be about 5.8. To the best of our knowledge, this is the highest average power of LED-pumped A-O Q-switched 1319 nm laser and intracavity frequency doubled red laser reported to date.