The twice world champion died at the age of 61 last month.
Shaun Murphy, Mark Selby, Joe Swail, Tony Knowles, David Taylor, John Virgo and Willie Thorne were also in attendance at St Anne's Catherdral. Hundreds of people were gathered outside to see off the Hurricane.
Higgins's daughter, Lauren, read out an emotional poem she had written in tribute to her father.
His former wife, Lynn, and son, Jordan, were among the family and friends in the packed catherdral.
The Dean of Belfast, Houston McKelvey, told mourners Higgins, "at a very young age encountered two of the greatest temptations possible - fame and fortune. He found it difficult to cope with both. He was not the first to find this difficult and he certainly will not be the last."
Hendry said afterwards, "If it wasn't for Alex, I probably wouldn't have had a career in snooker."In Sheffield, players and officials observed a minute's silence before the start of the Shanghai Masters qualifiers (pictured).