Based on the angular spectrum representation of partially coherent beams and the method of stationary phase, the far-field light intensity and divergence angle properties of nonparaxial partially coherent beams with nonconventional spatial correlation structure are studied. Analyticall expressions of the far-field light intensity and divergence angle of nonparaxial Bessel-Gaussian Schell-model (BGSM) beam diffracted by a circular aperture are derived. The properties of the far-field light intensity and divergence angle of the BGSM beam are illustrated numerically by the expressions. The results show that the far-field light intensity and divergence angle properties of the nonparaxial BGSM beam are obviously different from that of nonparaxial Gaussian Schell-model beam, and are closely related to the spatial correlation structure, beam waist width, coherence length and aperture radius in light source plane of the beams. Modulating the spatial correlation structure of the beam provides a novel way to modulate the propagation properties of nonparaxial partially coherent beam in the far-field.