When σ is a quasi-definite moment functional with themonic orthogonal polynomial system {Pn (x)}n=0=0, we consider a point masses perturbation τ of σ given by τ: = σ + λ Σ l=1 Σk=0 ((- 1)ulk/k!) δ (x-cl), where λ, ulk, and cl areconstants with ci ≠ cj for i ≠ j. That is, τ is a generalized Uvarov transform of σ satisfying A (x) τ = A (x) σ, where A (x) = ∏ l = 1 (x - cl)1. We find necessary and sufficient conditions for τ to be quasi-definite. We also discuss various properties of monic orthogonal polynomial system {Rn (x)}n=0 relative to τ including two examples.