New approaches in the ยฎnite element method for stochastic structures are proposed. The FEM based on exact inverse of stiness matrix is ยฎrst proposed for bar extension problems with stochastic stiness. The method is exempliยฎed by the direct exact inverse of stiness matrix for the deformation of the bar under extension. The second new FEM is based on the diagonalization of the element stiness matrix and the inverse of the global stiness matrix. The method is proposed for beam bending problems with stochastic stiness. The third new FEM is based on the element-level ยฏexibility and its idea is general applicable. The new methods avoid the error due to truncating the expansion series of random stiness matrix, which appears in conventional ยฎnite element methods for stochastic structures based on either series expansion or perturbation technique. Examples of a stochastic bar under tension and stochastic beams under uniform pressure are analyzed. Comparison of the new ยฎnite element solution by new approaches and conventional ยฎnite element solution by the ยฎrst-order perturbation is performed. Numerical results illustrates the superiority of the new proposed methods over the conventional FEM for stochastic structures.