We propose a nucleon-nucleon potential for which the [ital NN], [ital N][Delta], and [Delta][Delta] channels are coupled by energy-independent, nonlocal interactions constructed from meson-exchange interactions. The same vertex couplings that were utilized in earlier studies based on the Bonn single-channel [ital NN] potential are adopted. We arrive at our interaction by applying an extension of the folded diagram expansion to coupled channels. The coupled-channel formalism facilitates studies of the interplay between nucleon and delta degrees of freedom and bound-state properties of nuclear matter and finite nuclei. It also establishes a framework that might simplify the treatment of nucleon-nucleon scattering to energies above pion-production threshold.