The Glovers had already recorded their highest ever league position by finishing fourth in the division, and overcame Sheffield United in the semi-finals to set up a tie with Brentford at Wembley.
Striker Paddy Madden gave Town the lead with a beautifully placed shot from outside the area.
Dan Burn made it two on 42 minutes before Harlee Dean nodded home to reduce the deficit after the break.
Yeovil withstood heavy pressure for the remainder of the contest but held on to win promotion to the Championship in their 10th season in the Football League.
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Advent Calendar Day One: YTFC’s Number One
Advent Calendar Day Two: Daryl Allinson
Advent Calendar Day Three: YTFC 2-1 Crawley Town
Advent Calendar Day Four: ‘What A Strike!’
Advent Calendar Day Five: A Year In Charge
Advent Calendar Day Six: Nostalgia Mode
Advent Calendar Day Seven: Play-Off Classic
Advent Calendar Day Eight: The 1949 Giant Killers
Advent Calendar Day Nine: Tom Eaves’ Goals
Advent Calendar Day Ten: Comeback Kings
Advent Calendar Day 11: Penalty Practice
Advent Calendar Day 12: YTFC’s 12th Man
Advent Calendar Day 13: Treize Buts Pour Francois
Advent Calendar Day 14: Happy Birthday Ryan!
Advent Calendar Day 15: Smith Tries To Recreate His First Goal
Advent Calendar Day 16: YTFC Giveaway
Advent Calendar Day 17: FA Cup Fever
Advent Calendar Day 18: Jingle Bells (Jingle Bells Outtakes)
Advent Calendar Day 19: Tahv’s Worldie
Advent Calendar Day 20: 20 Of The Best
