Barium acetate is generally produced by the reaction of acetic acid with barium carbonate:[2]
The reaction is performed in solution and the barium acetate crystalizes out at temperatures above 41 C. Between 25 and 40 C, the monohydrate version crystalizes. Alternatively, barium sulfide can be used:[2]
Again, the solvent is evaporated off and the barium acetate crystallized.