Jason Gillespie has been given compassionate leave by the club.
A statement from Yorkshire CCC said: “It is with deep regret and sadness that we learn of the passing of Jason Gillespie’s father, who died from a heart attack on Saturday.
“Jason’s mother and father were staying with him in Leeds on holiday.
“Our heartfelt condolences go to Jason, his mother and family.”
MrGillespie will not travel with the team for Yorkshire’s Friends Life T20 match at Queen’s Park, Chesterfield against Derbyshire Falcons.