Substitute Moore decided a tense game with a clean finish from a superbly worked free-kick to seal Scott Parker’s men second place after two years in the second tier of English football.
Forest, who needed a win to overtake Cherries in the table, must now try to end their 23-year exile in the top flight via the play-offs.
Bournemouth started the game brilliantly when Philip Billing forced a good save from Forest goalkeeper Brice Samba in just the fourth minute.
Billing’s curling effort – after coming on from the left – appeared destined for the far corner before Samba threw himself down to slide the ball back for a corner.
The Cherries received a boost ahead of the game when their Wales midfielder David Brooks revealed on social media that he was cancer-free.
Brooks received a standing ovation from the home fans in the seventh minute – in honor of their number seven, who was watching from the executive boxes.
Forest should have taken the lead in the ninth minute when Djed Spence put Sam Surridge on target with a superb defense-dividing pass.
Surridge, a product of Bournemouth’s youth academy, let his former side off the hook by hammering his shot against the crossbar while goalkeeper Mark Travers was battered.
Bournemouth had a massive break three minutes from half-time when Travers brought Surridge down in the 18-yard box.
Travers was saved from conceding a penalty by the assistant referee’s offside flag, but TV replays showed Surridge had timed his run perfectly.
Bournemouth had their first significant performance of the second half when top scorer Dominic Solanke fired into the side netting after a through ball from Ryan Christie.
The home side were forced into a substitution on the hour when midfielder Jefferson Lerma limped away to be replaced by striker Moore.
Billing almost broke the deadlock in the 66th minute after passing Ryan Yates on the edge of his own box, but was only able to put the shot into Samba’s legs from a tight angle.
Shortly afterwards, former Bournemouth captain Steve Cook made a heroic block to deflect Christie’s shot off target after the Scotland international broke loose in the box.
The Cherries were now firmly in front and Samba was called into action again with 20 minutes remaining to thwart Jaidon Anthony’s sharp attempt.
The hosts scored the deserved goal seven minutes before the end.
Jordan Zemura’s labyrinthine run resulted in a foul on the edge of the box and Billing deftly rolled a free-kick down the path of Moore, who coolly put the ball into the far post.
It was only the Wales international’s third goal of his injury-plagued career at Bournemouth since joining from Cardiff in January.
Home fans flocked to the pitch full-time after their side survived eight long minutes of added time to seal their comeback in the top flight.
https://www.independent.co.uk/sport/football/bournemouth-nottingham-forest-result-championship-2022-b2070891.html Bournemouth vs Nottingham Forest Result: Championship Result, Goals, Report