Genzebe clocked 8:45.05 to win gold ahead of Sifan Hassan of the Netherlands who returned a seasons best of 8:45.68 to take home silver while home based Laura Muir settled for bronze in also a seasons best time of 8:45.78.
The decoration of the two athletes required little more than an hour, but it all added up to quite a night for British Athletics, which arrived at the world titles with few dominant athletes but still rose to third in the overall medal table.
Ther was also a bit of controversy with Elliot Giles in the 800m, who for an hour was awarded the bronze medal after American Drew Windle was disqualified.
This was Dibaba's 4th indoor world title (3 straight at 3000m, plus a 1500m title from 2012) tying Meseret Defar for the most ever by a long-distance runner (Maria Mutola won seven 800m titles indoors).
Muir's achievements, although not gold, top Katarina Johnson-Thompson's pentathlon gold because of the strength of the respective fields.
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These upgrades follow the disqualification of results of the original medallists after they were sanctioned for violating anti-doping rules.
She is now a serious competitor on the world stage and seems likely to improve, especially once she finishes her veterinary studies in May.
Muir and her Andy Young, coach, had been forced to get a cab from Glasgow on Wednesday night when the weather closed in, forcing all flights to be cancelled and stopping trains.
Dibaba never looked under real threat but Muir held Hassan off, in the same way the Dutch athlete did to her in beating her to silver in the 3,000m.
Her team-mate Eilish McColgan came 10th in the 3,000m.
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That was the goal when I first came back. "I need to keep building on it", Woods said. "And I feel like I'm right on track for that".
Running before home crowd, Great Britain poster girl Laura Muir will be another athlete capable of blighting Obiri's happiness. I just ran my socks off. The 25-year-old is head and shoulders above the rest right now, not least when cruising over 2.01m when the rest around her faltered and she duly reclaimed the World Indoor title that she previously won in 2014.
Doyle produced her best run of 2018 to win her first individual global medal, nine years after her first appearance at the outdoor World Championships.
It was a slow pace race that saw Briton, cheered by home crowed take the lead as the pack went through the 400m in 1:15 while defending champion Dibaba was cruising at the back of the bunched group. "This day is for me and my country", said Dibaba, who is due to contest the 1500m heats tomorrow evening. This victory against a world class field meant a lot. "It's not my preferred event so to do this is incredible".
GB's Eilidh Doyle also took bronze in the women's 400m with a season-best time of 51.60 seconds but CJ Ujah suffered a dismal end to his championships after he was disqualified for a false start in the 60m semi-finals.
Elsewhere, Great Britain's 4x400m teams both qualified second in their heats to reach the men's and women's final on Sunday, while in the women's 800m, Shelayna Oskan-Clarke clocked two minutes 01.76 seconds to reach the final as she looks to add to the European Indoor silver she won past year.
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To put this into further perspective, future Hall of Fame left tackle Joe Thomas only recorded 28 reps during his combine. According to NFL .com research, there have only been 4 players since 2003 to post slower times.
Earlier, Britain's Andrew Pozzi eased into Sunday's semi-finals of the 60m hurdles. Those five or six-hundredths of a second could be crucial on Sunday.