The 27-year-old centre-back has signed a four-and-a-half year deal at Molineux, with the option of an extra 12 months, and becomes Vitor Pereira's first signing at the club.
It also ends Wolves' interest in Lens defender Kevin Danso as the club moved for Agbadou over the Austria international.
"Emmanuel's a winner and he's driven," said Wolves sporting director Matt Hobbs.
"After the journey's had, he's still unbelievably hungry. He's the type of player the Wolves fans should love, because you're going to get absolutely everything he's got.
"When Vitor came in it's the first conversation we had, to add one quick. There are so many games in January, so you can't afford to waste a month.
- Newcastle and Villa charged over 'half-time melee'
- Everton making 'every effort' for cup tie to go ahead
- 'Big challenge' - Potter takes charge at West Ham
- Vaughan to captain England U19s in South Africa
- Indonesia name Dutch legend Kluivert as head coach
Premier League strugglers Wolves had been looking for a defender since selling captain Max Kilman to West Ham last summer for £40m, having also lost Yerson Mosquera to a season-ending knee injury in September.
Ivory Coast international Agbadou has spent the last two-and-a-half year at Reims after joining from Belgium side KAS Eupen in 2022.
He made 76 appearances, scoring three goals, for the Ligue 1 club and leaves with the French side 11th, eight points adrift of the top four.
Agbadou joins Wolves with the club out of the Premier League relegation zone on goal difference following Monday's 3-0 defeat to Nottingham Forest.
They have conceded 45 goals, a league high, but have scored 31, the eighth best in the division.
Wolves travel to Bristol City in the FA Cup third round on Saturday before going to Newcastle on 15 January.
0 Comments
This space aims to broaden the debate on the subject addressed in the news, democratically and respectfully. Comments that violate laws and ethical and moral principles or that promote illegal or criminal activities will not be accepted. Therefore, slanderous, defamatory, prejudiced, offensive, aggressive comments, those that use foul language, incite violence, express hate speech or contain links will be summarily deleted.