We propose the mechanism of active Faraday optical clock, and experimentally demonstrate active Faraday optical frequency standards based on 852 nm narrow bandwidth Faraday atomic filter by the method of velocity-selective optical pumping of cesium vapor. The center frequency of the active Faraday optical frequency standards is determined by the cesium 6 2 S 1/2 F = 4 to 6 2 P 3/2 F ′ = 4 and 5 crossover transition line. The optical heterodyne beat between two similar independent setups shows that the frequency linewidth reaches 996(26) Hz, which is 5.3 × 10 3 times smaller than the natural linewidth of the cesium 852 nm transition line. The maximum emitted light power reaches 75 µW. The active Faraday optical frequency standards reported here have advantages of narrow linewidth and reduced cavity pulling, which can readily be extended to other atomic transition lines of alkali and alkaline-earth metal atoms trapped in optical lattices at magic wavelengths, making it useful for new generation of optical atomic clocks. c 2018 Optical Society of America OCIS codes: (140.3425) Laser stabilization; (120.2440) Filters; (120.3940) Metrology.The optical frequency standards based on neutral atoms in optical lattices [1][2][3][4] have shown better stability and accuracy at 10 −18 level. However, the performance of the optical lattice clocks is still limited by the Brownian thermo-mechanical noise of high-finesse optical cavities for frequency stabilization of clock lasers [5, 6]. Using atoms with narrow linewidth clock transitions and a bad-cavity to make an active optical clock [7][8][9][10][11][12][13][14], can greatly reduce the influence of the mechanical or thermal vibrations of the cavity mirrors on the emitted optical frequency. A spectral linewidth of just 1 mHz and a potential stability of two orders of magnitude better could be expected [7][8][9][10][11][12][13][14][15].The active optical clocks [7][8][9] work in the bad-cavity regime, which corresponds to the condition that the cavity mode bandwidth Γ c is larger than the gain bandwidth γ a . The bad-cavity laser based on HeNe [16] or HeXe [17] infrared gas lasers with Γ c /γ a equals 1.4 was reported. The laser using rubidium two-photon Raman transition realized Γ c /γ a of 5×10 4 [14] and the Gaussian full-width at half-maximum (FWHM) was measured to be 350(25) Hz relative to the Raman dressing laser.In this Letter, we introduce the concept of the active Faraday optical clock, in which the optical emission frequency is determined by the center frequency of the Faraday atomic filter [18][19][20][21][22][23] when working in bad-cavity regime. The optical gain can be provided by Ti:Sapphire, dye or semiconductor materials. We experimentally demonstrate an active Faraday frequency standard using Cs 852 nm narrow bandwidth Faraday atomic filter in an extended bad-cavity of a laser diode. The maximum emitted light power reaches 75 µW and the frequency is determined by Cs 6 2 S 1/2 F = 4 to 6 2 P 3/2 F ′ = 4 and 5 crossover transition line with FWHM measured to be...