On Sunday, a male leopard entered the VIBGYOR school and injured five people during an hours-long attempt to catch it.
Yesterday, there were reports from residents of two leopards being spotted near the same private school.
Government officials will decide this evening on whether 130 private and state-run schools will re-open tomorrow.
Ravi Ralph, chief wildlife officer in the state of Karnataka, said the leopard appeared to have got into the school from a nearby forest area by jumping over the compound's wall.
"The leopard was caught and caged after a four-hour operation, when it was trapped in a room with one tranquiliser shot through a wire-meshed ventilator," Ralph told AFP.
The leopard was taken to Bengaluru's Bannerghatta zoo for observation, but was reportedly later released into the forest. His victims were treated for minor injuries.
Leopards number between 12,000 to 14,000, according to a national survey released last year. They are increasingly venturing into populated areas as their habitats become depleted.