The 62-year-old singer died from kidney failure last month after fighting cancer and pneumonia.
Onlookers watched as the white, glass-sided carriage, topped with red roses and pulled by four plumed, black Friesian horses, processed through his adopted town of Thame in Oxfordshire, reported Daily Mirror online.
The cortege was followed by Gibb's two Irish wolfhounds, Ollie and Missy, together with friends and family.
They travelled from Gibb's home, along the town's High Street ahead of the funeral at St Mary's Church. It had been Gibb's wish to say a final goodbye to fans and his home town of Thame.
Guests followed the cortege on foot from the gatehouse of his estate, including his elder brother Barry, the sole surviving member of the chart-topping group.
Others in attendance included Tim Rice, DJ Mike Read and Uri Geller.
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Gibb's death drew tributes from across the music world but also from politicians including former prime minister Tony Blair, who was a close friend.
Gibb had a hugely successful music career starting in the early 1960s with his twin Maurice, who died in 2003 and elder brother Barry with tracks such as 'Massachusetts' and 'I've Gotta Get A Message To You'.
But it was their 1970s rebirth during the disco boom which many will remember him for, turning out hits such as Stayin' Alive and Night Fever.