A zoo statement says the birds were put down today, a day after the first one was found with the disease.
The zoo says the pelicans were infected with the H5N8 strain that is harmless to humans but spreads rapidly among birds. It has closed down facilities used by the pelicans to contain the virus.
Bird flu outbreaks in Europe, the United States and Asia have led poultry farmers to destroy tens of thousands of chickens and other livestock birds.