In this article, for n ≥ 2, we compute asymptotic, qualitative, and quantitative estimates of the Bergman kernel of Picard modular cusp forms associated to torsion-free, cocompact subgroups of SU (n, 1), C . The main result of the article is the following result. Let Γ ⊂ SU (2, 1), OK be a torsion-free subgroup of finite index, where K is a totally imaginary field. Let B k Γ denote the Bergman kernel associated to the S k (Γ), complex vector space of weight-k cusp forms with respect to Γ. Let B 2 denote the 2-dimensional complex ball endowed with the hyperbolic metric, and let XΓ := Γ\B 2 denote the quotient space, which is a noncompact complex manifold of dimension 2. Let • pet denote the point-wise Petersson norm on S k (Γ). Then, for k ≥ 6, we have the following estimatewhere the implied constant depends only on Γ.