The assailant shot and wounded two others before being killed by security services during the attack yesterday evening (April 20).
A man drove alongside a police bus just before 9pm local time and opened fire on the vehicle with an automatic weapon, French Interior Ministry spokesperson Pierre-Henry Brandet said.
The whole of the Champs-Elysees was evacuated, BBC News reports.
Islamic State later claimed responsibility for the attack.
The shooting came two days after intelligence agencies reportedly thwarted a plot to target the French presidential election campaign with an attack in Marseilles.
EasyJet said last night: “Following the incident in central Paris our thoughts are with the people of Paris at this difficult time.
“Our schedule to and from Paris is operating as normal this evening and is planned to continue as normal tomorrow.
“Any customers due to travel to or from Paris who feel this will change their travel plans in the next 24 hours should please call us tomorrow morning so we can help.
“Anyone flying first thing who wants to change their plans can arrange it retrospectively when our contact centres open at 8am UK local time.”
In an update to its travel advice for France last night the Foreign Office (FCO) said it was “urgently seeking further information” about the shooting and warned Britons travelling in Paris to “remain vigilant and follow the advice of the local security authorities and/or your tour operator.”
The FCO added: “There is a high threat from terrorism. Due to ongoing threats to France by Islamist terrorist groups, and recent French military intervention against [Islamic State], the French government has warned the public to be especially vigilant and has reinforced its security measures."