Such played with them from 1983 to 1994, when they had such hits as You Give Love a Bad Name, Livin' on a Prayer and Bad Medicine.
He was credited with bringing the band together and was remembered as a dear friend who was "wild and full of life".
No details were given of how or where he had died.
"Alec was integral to the formation of the band," singer-songwriter Jon Bon Jovi tweeted. "To be honest we found our way to each other thru him..."
