Since all parts of pokeweed are poisonous to humans, livestock and various other species of mammals, you should get rid of pokeweed immediately. Small infestations of pokeweed growing in gardens or hedges can be hand pulled from the ground.erbicide Control. Wear safety glasses and latex or rubber gloves. Pour 1/2 gallon of water into a large bucket. Add 1 to 2 tablespoons of an herbicide that lists Dimethylamine salt of 2,4-D-Dichlorophenoxyacetic acid (2,4-D) as its active ingredient per the package instructions.