A new vector computational algorithm is presented for calculating the stiffness matrices of multi-layered reinforced concrete shell elements. Each element stiffness matrix is represented in terms of three vector arrays of lengths 78, 96 and 36, respectively. One element stiffness matrix is calculated at a time without interruption in the vector calculations for the uncracked or cracked elements. It is shown that the present algorithm is 1.1 to 7.3 rimes more efficient then the vector algorithm developed by Min and Gupta on a Gray Y-MP supercomputer.