The player known affectionately as "The Wee Barra" passed away at the age of 82.
The fiery midfielder, who stood just 5 foot 3 inches tall, made his debut for the Hoops as an 18-year-old in 1949 and went on to score 116 goals in 320 games over the next nine years before moving to Everton.
During his time with Celtic he was capped 16 times by the Scottish League and won the first of his 31 caps at full international level in 1950 aged just 19.
Collins remained on Merseyside for four years, scoring almost a goal every three games in his 133 appearances before Don Revie signed him for the then Second Division side Leeds for a £25,000 fee.
Scotland legend Billy Bremner, who replaced Collins as captain of Leeds United, once said of his team-mate: "They say one man doesn't make a team, but Bobby Collins came nearer to that than anyone else."
In a statement on their website, Celtic said: "Bobby Collins was a true Celtic legend and one of Scotland's all-time great players. His contribution to the success of both Celtic and Leeds United is testament to that."