The non-collinear phase matching in XOY and XOZ principal planes of yttrium calcium oxyborate (YCOB) crystal is analyzed in detail with signal pulse of central wavelength at 1053 nm and pump pulse of wavelength at 532 nm. Based on the concepts without numerical approximation, the optimal noncollinear angles, phase-matching angles, parametric bandwidths, walk-off angles, acceptance angles, efficiency coefficients, and gain bandwidths are presented. It is concluded that the YCOB crystals have broad gain bandwidth, high gain, big acceptance angle and small walk-off angle, and they can be utilized as gain media both in high-energy high-power solid-state lasers and tens of femtoseconds ultra-short pulsed laser systems.