We report the detection with the IRAM interferometer at 3 mm of J=5-4 CO line in the radio quiet quasar BRI 1335-0415 at redshift of z = 4.41 . After BR 1202-0725 at z = 4.69 ( Ohta et al 1996 , Omont et al 1996a ) , this is the second detection of CO at z > 3 . The integrated line intensity is 2.8 \pm 0.3 Jy km s ^ { -1 } with a linewidth of 420 \pm 60 km s ^ { -1 } . The dust continuum emission has also been mapped at 1.35 mm . The 1.35 mm flux is found to be 5.6 \pm 1.1 mJy . The ratio of the CO to 1.35 mm continuum flux is slightly larger than for BR 1202-0725 . Contrary to the case of BR 1202-0725 , there is only marginal evidence of extension of the 1.35 mm continuum and 3mm CO emission . In the absence of gravitational lensing , for which there is no a priori evidence , and within the uncertainties of the CO to M ( H _ { 2 } ) conversion factors , the mass of molecular gas M ( H _ { 2 } ) could be 10 ^ { 11 } M _ { \odot } .