Covariant propagators and complete vertices for spin J bosons with conserved currents for all J are worked out. These explicit propagators. ha~e been given before (Fronsdal, Durand), but the nontrivial derivation has heretofore been lacking or foo cryptic. ·Our com plete vertices, which are new to our k11owledge; invol~e an apt set of form factors modelled on the electromagnetic ones. The strong1y absorbed one spin J boson-exchange helicity am plitudes are given. The main ·application ·of. these results is in realistic models, with•· explicit J-plane singularities, of the nondiffractive component of two hadron reaction amplitudes. The paper is presented as a useful tool and compendium for workers in this field. § I. Introduction We derive explicit formulas, in covariant (meaning 4-dimensional) form, for the (free field) propagator and complete vertex of a spin J boson coupled to equal mass spin 0 or spin t particles for any J. Whereas many authors have treated the subject of higher spin (see . below), some of these results are not ,new. The propagators in explicit and covariant form have been given before; however, a complete derivation, which involves nontrivial combinatorial problems, has been lacking. To our knowledge, our complete vertices are new. In addi. tion, we give the strongly absorbed elementary one spin J boson-exchange heli city amplitudes, which are useful in realistic models of the nondiffractive com ponent of two hadron reaction amplitudes. In fact, the main motivation of the paper is' ~9 provide the starting point of Ref. 9) and improved work to appear. In view ~f the, applications in mind, we h11ve not tried for complete generality, for example, only bosons of the natural series [parity ( -l)J] with conserved currents and parity-conserving interactions are treated. The basic ideas are of course not new. We publish this paper in the hope that it will be _useful to workers in this field; who would otherwise have to look for these results scattered throughout the literature in less-than-explicit forms and without derivations. We indicate briefly where our work stands in. relation to some previous work, to clari£y what new we bring to the subject. Fierz and Pauli1l first treated higher spin; however they worked in the spinor framework, not well suited to ease of calculation in the F eynman, graph