The show followed Robertson's family for 11 seasons from 2012 to 2017 as they ran his "Duck Commander" hunting business in Louisiana.
It produced several spinoffs, with a revival series expected to premiere this summer.
Robertson's family revealed he had Alzheimer's Disease in December.
A family statement says, "We are grateful for his life on Earth and will continue the legacy of love for God and love for others."
Robertson was 79 years old.