Zinc is found in both animal and plant foods, but the absorption varies a lot. It is believed that in general, zinc absorption from a diet high in animal protein will be higher than that in a diet rich in plant proteins.  For this reason, the dietary requirements of strict vegetarians may be up to 50% higher than non-vegetarians.
General daily zinc recommendations are about 8mg for women, and 14 mg for men (higher in men as you noted in your comments).
You can get 1mg of zinc in about: [2,3]
1 tablespoon of nuts, seeds or nut/seed butters
¼ to ½ cup cooked beans
1 tablespoon wheat germ
1 cup cooked grain
2 slices of bread
2 cups cooked leafy green vegetables
Interestingly, ½ a cup of baked beans will provide you with 3mg per serving.
 NHMRC Nutrient Reference Values (www.nrv.gov.au/nutrients/zinc.htm