In this paper, the singular three-point boundary value problem $${{{u"(t);+;f(t,;u);=;0,;t;{in};(0,;1),}atop{u(0);=;0,;u(1);=;{alpha}u(eta),}}$$ is studied, where 0 < $eta$ < 1, $alpha$ > 0, f(t,u) may be singular at u = 0. By mixed monotone method, the existence and uniqueness are established for the above singular three-point boundary value problems. The theorems obtained are very general and complement previous know results.