This work presents an element formulation for the analysis of axisymmetric thick shells under pressure and line loads using Enriched Finite Element technique. Axial and radial displacement fields are considered in the formulation under the conditions of zero stresses at internal and external surfaces of the shell and, a combination of analitical solutions for radial displacements of cilindrical and spherical thick wall shells. The formulation results in a six generalized degree-of-freedom uni-dimensional model refered to the element nodal points at the shell mid-surface. Continuity between adjoining elements and clamped boundary conditions associated to the element degrees-of-freedom are imposed by the use of a penalty method. The formulation has been implemented and some numerical analysis results are shown to demonstrate its aplicability, as compared to other analytical or numerical solutions.