Former Manchester United manager admitted he considered other options before pulling off the masterstroke of landing Leeds United forward Eric Cantona.
Manchester United legend David Beckham scored an audacious 60-yard goal from the halfway line against Wimbledon in the Premier League.
Each inductee will receive a personalised medallion, engraved with the year of their induction.
The Frenchman played a key role in United dominating the Premier League under Sir Alex Ferguson in the 1990s.
Dennis Bergkamp scored 87 goals in 315 Premier League appearances for Arsenal after signing from Inter Milan in 1995.
The England international was the Premier League's Player of the Season following Chelsea's 2004/05 title-winning campaign.
The former Manchester United captain's induction follows those of strikers Eric Cantona, Alan Shearer and Thierry Henry.
Eric Cantona is the latest player to be inducted into Premier League Hall of Fame, joining Thierry Henry and Alan Shearer.