Co substituted Ni$_{1-x}$Co$_x$Br$_2$ (0 $leq~x~leq$ 1) single crystals were synthesized using vapor transport. The physical properties of the crystals were characterized by x-ray powder diffraction, magnetization, and specific heat measurements. Room temperature x-ray powder diffraction data indicate a change from the CdCl$_2$ structure type to the CdI$_2$ structure type occurs within 0.56 $<~x~<$ 0.76. NiBr$_2$ has a commensurate antiferromagnetic phase below $T_{rm N} approx$ 46 K and an incommensurate magnetic ground state below $T_{rm IC} approx$ 20 K. Both magnetic transitions are affected by cobalt substitution, and the incommensurate phase transition is present up to at least $x$ = 0.56. The evolution of magnetism has been studied as a function of cobalt content and is summarized in the temperature-composition phase diagram.
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