A variational method for the determination of the phase,originally devcloped by Hulthén is appledhere to a two nuclecon system,the nuclcar potential being taken as a superposition of Yukawa potentialsof different ranges.Hulthén's method is also gencralized to include a Coulomb potential when necessary,Formulac are obtained in the form of power series which are useful for encrgies less that 40 Mev.