The second-harmonic sound beam nonlinearly generated by a conical source is analytically described It is shown that the radial second-hamonic beam is distributed as the Bessel function and independent of the porpagation distance. Anoher important feature is that the beamwidth of the second-harmonic component is just equal to 1/2 time that of the fundamental, not 1/√2 times in the general cases. A potential application of this beam in the acoustic noninearity parameter B/A imaging or measurement is also discussed.