The Blues will receive 1,400 tickets for the last-16 first leg tie at the Parc des Princes on February 16, 700 down on last season's allocation for the same stage.
It is the third time in three seasons Chelsea have been drawn with PSG and last season's tie was marred when a black commuter was blocked from boarding a train by fans travelling to the game in an allegedly racist incident which the club condemned.
A statement on the club's official website, chelseafc.com, read: "The reduced number does compare favourably with other clubs playing Champions League games this season at Parc des Princes.
"Ajax and Anderlecht were given approximately 800 tickets for their most recent games there.
"Away supporters at domestic league matches in Paris are not allowed following November's terrorist attacks.
"While we are disappointed that not all our fans who want to go to the game will now be able to attend, we appreciate the Parisien authorities are operating in a heightened security environment."
Chelsea made representations in order to get the full allocation but were unsuccessful, with the allegedly racist incident on the Paris Metro in last year's visit a factor.
"The club made our best effort to obtain the full allocation but was advised it would not be possible due to issues that occurred with Chelsea fans in the Paris tube and elsewhere last year, in addition to the ongoing security situation," the statement added.
Supporters with tickets will also be required to wear a wristband to gain entry to the stadium.
Source : PA