New tranilast complexes and new tranilast cocrystals are disclosed. These include a 1:1 tranilast nicotinamide complex, a 1:1 tranilast nicotinamide cocrystal, a 1:1 tranilast saccharin complex, a 1:1 tranilast saccharin cocrystal, a 1:1 tranilast gentisic acid complex, a 1:1 tranilast gentisic acid cocrystal, a 1:1 tranilast salicylic acid complex, a 1:1 tranilast salicylic acid cocrystal, a 1:1 tranilast urea complex, a 1:1 tranilast urea cocrystal, a 1:1 tranilast 4-aminobenzoic acid complex, a 1:1 tranilast 4-aminobenzoic acid cocrystal, a 1:1 tranilast 2,4-dihydroxybenzoic acid complex and a 1:1 tranilast 2,4-dihydroxybenzoic acid cocrystal. Also disclosed are pharmaceutical compositions containing a tranilast complex or cocrystal of the invention and a pharmaceutically acceptable carrier. Methods of treatment using the tranilast complexes and cocrystals as well as the pharmaceutical compositions are disclosed.