From nonlinear optics and electromagnetic field theory,type Ⅰ and type Ⅱ frequency-doubling phase-matching angle and effective nonlinear coefficient of LBO crystal whose fundamental frequency wavelength is 1064 nm are respectively calculated with numerical method. The range of type Ⅰ phase-matching angle in the first quadrant is about (34°~90°,0~24°),and the square of the effective nonlinear coefficient have a maxmum value when the phase-matching angle approximates (42.2°,56°) and have the second largest value when the phase-matching angle approximates (90°,45.6°). The two values are approximately equivalent. The range of type Ⅱ phase-matching angle in the first quadrant is about(0~90°,45.5°~90°),and the square of the effective nonlinear coefficients have a maximum value when the phase-matching angle approximates (0,90°).