The legendary comedian - who was best known for his role in 'The Carol Burnett Show' - passed away at 8:45am on Tuesday, May 14, at the age of 85 surrounded by his family and friends, his publicist Howard Bragman told PEOPLE.
Tim is survived by his wife of 35 years Charlene Conway, his seven children; Kelly, Corey, Jaime, Tim, Jackie, Pat, Shawn, and his two granddaughters.
His relatives have asked that any fans who want to pay their respects to the late star do so by making donations to The Lou Ruvo Brain Center at the Cleveland Clinic in Las Vegas, Nevada, rather than sending flowers or gifts to them.
Prior to his passing, Tim had suffered complications from Normal Pressure Hydrocephalus (NPH) - an abnormal buildup of cerebrospinal fluid (CSF) in the brain's ventricles - but showed no signs of dementia or Alzheimer's.
However, last year, his daughter Kelly filed documents to become his conservator in a bid to control his medical needs after his wife Charlene reportedly voiced her plans to move him out of the "excellent skilled nursing facility" he was staying at.