Summary: We investiage the stress singularity in space junctions of thin linearly elastic isotropic plate elements with zero bending rigidities. The problem on an intersection of infinite wedge-shaped elements is considered first, and the solution for each element, being in plane stress state, is represented in terms of holomorphic functions (Kolosov-Muskhelishvili complex potentials) in some weighted Hardy-type classes. After application of the Mellin transform with respect to radius, the problem is reduced to a system of linear algebraic equations. By use of the residue calculus during the inverse Mellin transform, we obtain stress asymptotics at the wedge apex. Then the asymptotic representation is extended to intersections of finite plate elements. Some numerical results are presented which demonstrate the dependence of stress singularity exponent on the junction geometry and on membrane rigidities of plate elements.