The left-arm medium-pacer spent 10 seasons with Yorkshire, before joining Notts and helping them win the County Championship in both 1981 and 1987.
Following his first-class debut in 1969, Bore took 372 wickets in 159 first-class games in his career, plus a further 139 limited-overs wickets.
After retiring, Hull-born Bore coached at youth level for both counties' development systems.
Former Yorkshire and Nottinghamshire seamer Mike Bore has died, aged 69.