The paper researches the feature of the solution and optimization conditions of the linear bilevel programming(LBP), at the basis of the optimization conditions of the (BLP), a global convergent algorithm is proposed to solve the (LBP).

• 对线性双层规划解的特点和最优性条件进行了研究，根据最优性条件提出了一个求解线性双层规划全局最优解的算法。