Abstract: Four categories, power molecular lattice category,L-base power molecular lattice category, power topological molecular lattice category andL-base power topological molecular lattice category, were defined. The relations between power molecular lattice and molecular lattice categories,L-base power molecular lattice and power molecular lattice categories, power topological molecular lattice and topological molecular lattice categories, andL-base power topological molecular lattice and power topological molecular lattice categories were discussed. It was proved that a - product of power molecular lattices is the product in power molecular lattice category, a product of L-base power molecular lattices is the product inL-base power molecular lattice category, a - product of power topological molecular lattices is the product in power topological molecular lattice category, and a product ofL-base power topological molecular lattices is the product inL-base power topological molecular lattice category