Competing Organisms
Algae thrive on basic nutrients in pond water, such as carbon nitrogen and oxygen. According to the University of Illinois, the addition of competing organisms in the water can kill algae by depriving the algae of these nutrients. Bacterial products and floating plants both compete with algae in this manner.
Predators
Some species of fish feed on algae, according to the University of Illinois. Releasing these natural predators into a pond can help clear the pond of algae. The University of Kentucky mentions grass carp as one such fish.
Considerations
People wishing to kill algae through natural methods may have to follow certain local regulations. For instance, the University of Kentucky points out that some states prohibit the addition of the grass carp to ponds or lakes. States such as Pennsylvania that do allow the carp may require a permit to use them, according to the Pennsylvania Fish and Boat Commission.