We describe an optimal shape design for a column subjected to follower force. One end of the column is clamped and the other free. The follower force acts on the free end of the column. The elcenvalue of the column is expressed as a function of the follower force. To calculate the eigenvalue, the finite element method is used. The optimization problem is formulated as the shape optimization problem for the same column mass with a reference uniform column and reduced to a discrete optimization problem. The column is divided into several parts with the same length. In each part of the column, the transverse shape change is expressed as a piecewise linear function. To solve the optimization problem, constructive algorithms (CAs) are used. The solution is compared with those reported in literature.