The earlier shooting took place in the northern suburb of Stains on the other side of the city.
A man travelling by car opened fire during a routine stop-and-search operation, slightly wounding one officer in the head, police said.
The attack, which took place at around 6:55am (0555GMT) "is linked" to the foiled assault at Orly at around 8:30am, police sources said.
No-one was injured in the standoff at the airport, which was evacuated. All flights in and out of the airport were suspended.