Abstract: According to the critical point theory, a class of problems of elliptic boundary value with an asymptotically linear term and singular term is studied. It is proved that the functional J corresponding to the elliptic boundary value satisfies PS condition on the convex closed set ΓΕ = {u ∈ C0¹ (Ω¯)|u > Εφ1} by the property of elliptic operator eigenvalue in combination with the asymptotical linearity of the function f(u). Then it is also proved that J is retractable to a ∈ R⁺ on ΓΕ by the ordinary differential equation theory in Banach space. Furthermore, ΓΕ is proved an invariant set of decent flow of J by Schauder condition, and J(u) is proved lower bounded for u ∈ΓΕ. A conclusion is therefore reasoned out that there is a positive solution at least to the problems of singular elliptic boundary value.