We study the second-order m -point boundary value problem u ' ' ( t ) + a ( t ) f ( t , u ( t ) ) = 0 , 0 < t < 1 , u ( 0 ) = u ( 1 ) = ∑ i = 1 m − 2 α i u ( η i ) , where 0 < η 1 < η 2 < ⋯ < η m − 2 ≤ 1 / 2 , α i > 0 for i = 1 , 2 , … , m − 2 with ∑ i = 1 m − 2 α i < 1 , m ≥ 3 . a : ( 0 , 1 ) → [ 0 , ∞ ) is continuous, symmetric on the interval ( 0 , 1 ) , and maybe singular at t = 0 and t = 1 , f : [ 0 , 1 ] × [ 0 , ∞ ) → [ 0 , ∞ ) is continuous, and f ( ⋅ , x ) is symmetric on the interval [ 0 , 1 ] for all x ∈ [ 0 , ∞ ) and satisfies some appropriate growth conditions. By using Krasnoselskii's fixed point theorem in a cone, we get some existence results of symmetric positive solutions.