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Relativistic partial-wave dispersion relations are formulated for elastic nucleon-nucleon scattering. These dispersion relations are integral equations with an inhomogeneous term taken from single-particle exchange contributions. The particles under consideration are 7r(/=l, pseudoscalar), r}(I=0, pseudoscalar), p(/=l, vector), co(1 = 0, vector), 7T7T amplitude. For this calculation, the familiar "pair suppression" is accomplished by making use of the pion-nucleon forward-scattering dispersion relation to normalize the NN -» -KIT amplitude at zero total energy. A cutoff parameter t c and a TT-TT scattering length a v are introduced in this calculation of the pair contribution.Next, we formulate the dispersion relations in the form of a Fredholm integral equation of the second kind whose solution gives directly the partial-wave amplitudes. Both the inhomogeneous term and the kernel of the integral equation are constructed in terms of the pole terms together with the pair contribution. Ou...