The angular non-critical phase-matching (A-NCPM) second-harmonic-generation (SHG) properties of Ba3(ZnB5O10)PO4 (BZBP) crystal were investigated. Based on the small signal solution formula of SHG, the effective nonlinear coefficient deff along z-axis was corrected to 1.43 p.m./V. Combining the theoretical SHG PM conditions, BZBP crystal can be achieved type-I A-NCPM with the fundamental wavelength of 750 nm on y-axis, and 1012 nm on z-axis. Using an OPO laser as pump source, the BZBP crystal could realize the 506 nm and 375 nm SHG lasers with the conversion efficiencies of 35 % and 45.5 % respectively. The acquired results demonstrated that BZBP is a promising NLO crystal for A-NCPM frequency conversion applications in the output spectral regions of Ti:sapphire laser and near-infrared lasers.