Gibson was thought to be a serious contender for the director of cricket role at Warwickshire, who instead promoted Dougie Brown from assistant coach.
However, Gibson has put any disappointment behind him by re-affirming himself to the Windies and he will lead their charge in the 2015 World Cup, according to the West Indies Cricket Board (WICB).
The Windies have enjoyed an upturn in fortunes since Gibson took the reins from John Dyson in 2010, most notably when they triumphed in the World Twenty20 in Sri Lanka last year.
"I enjoy being involved in West Indies cricket and it is something I'm very excited about considering what we have achieved - especially in the last year - beating New Zealand at home in all three formats and winning the ICC World Twenty20 tournament in Sri Lanka," said Gibson on the WICB's official website.
"This confirms that we are making progress and I am happy to continue with the team for the next three years as we look to take West Indies cricket forward."
The former England bowling coach added: "There is a lot to do and things to look forward to. There is the Champions Trophy in England this year, we will be defending the World T20 title in Bangladesh next year and there is the World Cup in 2015."
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- West Indies Cricket Board
- West Indies cricket