The motion of a two‐dimensional bubble rising at a constant velocity in an unbounded fluid is solved by series truncation. It is assumed that there is a wake of stagnant liquid extending to infinity below the bubble. Both the effects of gravitygand surface tensionTare taken into account. It is shown that the problem is characterized by a continuum of solutions forT=0 and by a discrete set of solutions whenT>0. In addition a unique solution is obtained in the limit as the surface tension approaches zero. The corresponding profile of the bubble is found to be in good agreement with experimental data.