We demonstrate a high-flux and low transverse temperature atomic beam of ytterbium by applying two-dimensional cooling using the 1S0-3P1 intercombination transition to the cold atomic beam produced by the dipolar-allowed 1S0-1P1 transition. The optimized transverse temperature of 11±9μK and an atomic flux of (7.5±1.0)×108atoms/s are obtained for the atomic beam whose longitudinal velocity is 30m/s. The transverse temperature is maintained below 23μK, while the flux is above 6.5×108atoms/s in the longitudinal velocity range of 22–30m/s. We also discuss the feasibility of further narrowing the transverse momentum width to less than the recoil momentum using the momentum-selective optical transition between the ground state and the long-lived metastable state. The transverse momentum width of our atomic beam, which is narrower than 5.7 times the recoil momentum, is a good starting point for the proposed method.