Manchester has joined current hosts London on a five-city shortlist to stage the ATP Finals from 2021.
Singapore, Tokyo and Turin have also made the cut after more than 40 cities expressed an initial interest in hosting the season finale.
Manchester lost out to the Chinese city of Shenzhen earlier this year in its attempt to host the WTA Finals - the women's equivalent of the ATP Finals.
A decision on the ATP Finals host will be made by March 2019 at the earliest.
London has hosted the event since 2009 and has drawn a cumulative total of more than 2.5 million spectators to the O2 Arena since then.
It extended its current agreement to host through to 2020 in May 2017.
Manchester's unsuccessful plan to stage the WTA Finals was centred on the 21,000-capacity Manchester Arena, the likely venue if it was successful with the ATP Finals bid.
"It has been a highly competitive process, and the candidate cities on the shortlist deserve huge credit for the passion and creative vision they have shown in their respective plans to continue the growth of our showpiece event," said ATP president Chris Kermode.