Celtic have won all seven of their matches at the start of the 2022-23 campaign, while Real Madrid have been victorious in their first five, four of which have been in La Liga.
Match preview
Celtic could hardly have warmed up for this match any better, with the Hoops thrashing bitter rivals Rangers 4-0 in the Scottish Premiership on Saturday to move five points clear of the Gers at the top of the table.
Ange Postecoglou's team have been in brilliant form at the start of the 2022-23 campaign, winning all seven of their matches, six of which have been in the league, while they recorded a 4-1 victory over Ross County in the Scottish League Cup at the end of August.
Celtic will play in Group F of this season's Champions League alongside Real Madrid, RB Leipzig and Shakhtar Donetsk, and while Los Blancos are the huge favourites to top the section, second looks open, and there is no question that Celtic Park will be bouncing on Tuesday for this glamorous fixture.
The Bhoys last played in the group stage of the Champions League in 2017-18, finishing third in Group B, before losing to Zenit St Petersburg in the last-32 stage of the Europa League.
Celtic last advanced through their group in the European Cup in 2012-13, finishing second in Group G, before going down 5-0 to Juventus in the round of 16, and it will be fascinating to see how the Scottish giants perform in this season's competition.
Real Madrid, meanwhile, are the holders of the European Cup, lifting the trophy for the 14th time last season by beating Liverpool 1-0 in the final.
Los Blancos are also the reigning Spanish champions, and they already claimed some silverware this season, beating Eintracht Frankfurt 2-0 in the UEFA Super Cup towards the start of last month.
Carlo Ancelotti's side have also made a 100% start to their 2022-23 La Liga campaign, beating Almeria, Celta Vigo, Espanyol and Real Betis to sit at the top of the table with 12 points.
Real Madrid have four more matches before the international break, taking on Celtic and RB Leipzig in the Champions League, in addition to Mallorca and Atletico Madrid in the league, and they are then not back in action until the start of October against Osasuna.
Los Blancos took on Celtic in the quarter-finals of the 1979-80 European Cup, losing 2-0 in the first leg in Glasgow before recording a 3-0 victory in the reverse game in Madrid to advance to the semi-finals, where they were beaten by Hamburg.
Celtic form (all competitions):
Real Madrid Champions League form:
Team News
Celtic lost Kyogo Furuhashi in the early stages of the clash with Rangers due to a shoulder injury, and the forward is now a major doubt for this contest.
Carl Starfelt, meanwhile, suffered a knee problem in the same match, and he is also a doubt for this game, which could allow Moritz Jenz and Georgios Giakoumakis to come into the XI.
Yosuke Ideguchi remains out with a leg injury, but new signing Oliver Abildgaard is pushing to be involved following his arrival on loan from Rubin Kazan.
Jota and Liel Abada scored three of Celtic's four goals against Rangers, and the pair are certain starters in the final third of the field against the European champions.
As for Real Madrid, Jesus Vallejo and Alvaro Odriozola were again missing against Real Betis through injury, but the visitors have no other concerns heading into this contest.
Ancelotti is expected to make a couple of changes from the side that took to the field for the first whistle on Saturday, with Federico Valverde and Toni Kroos likely to start.
Eduardo Camavinga and Rodrygo could be the two players to drop out, but Antonio Rudiger might have to accept a spot on the bench once again, with Dani Carvajal, Eder Militao, David Alaba and Ferland Mendy set to operate as the back four in Scotland.
Celtic possible starting lineup:
Hart; Juranovic, Carter-Vickers, Jenz, Taylor; O'Riley, McGregor, Hatate; Abada, Giakoumakis, Jota
Real Madrid possible starting lineup:
Courtois; Carvajal, Militao, Alaba, Mendy; Modric, Tchouameni, Kroos; Valverde, Benzema, Vinicius
We say: Celtic 1-2 Real Madrid
This has all of the makings of a brilliant match, and we are expecting an entertaining contest on Tuesday night. It would certainly not be a surprise to see a draw or a Celtic win in Glasgow, but we just have a feeling that Real Madrid's quality and experience will allow them to secure all three points here.