Estimates of H _ { 0 } from Sunyaev-Zel ’ dovich effect ( SZE ) and X-ray surface brightness of galaxy clusters depends on the underlying cosmology . In the current \Lambda CDM flat cosmology , a possible technique to broke the degenerescency on the mass density parameter ( \Omega _ { m } ) is to apply a joint analysis involving the baryon acoustic oscillations ( BAO ) . By adopting this technique to the ( H _ { 0 } , \Omega _ { m } ) parameter space , we obtain new constraints on the Hubble constant H _ { 0 } from BAO signature as given by the Sloan Digital Sky Survey ( SDSS ) catalog . Our analysis based on the SZE/X-ray data for a sample of 25 clusters yields H _ { 0 } = 74 ^ { +4 } _ { -3.5 } km s ^ { -1 } Mpc ^ { -1 } ( 1 \sigma , neglecting systematic uncertainties ) . This result is in good agreement with independent studies from the Hubble Space Telescope key project and the recent estimates of WMAP , thereby suggesting that the combination of these three independent phenomena provides an interesting method to constrain the Hubble constant .