An episode of unseen bits from the week in the villa was due to have been aired at 21:00 GMT.
Flack’s death shocked fans on Saturday. It came two months after she was replaced as host of the show after being charged with assault.
An ITV statement said: “Everybody at Love Island and ITV is shocked and saddened by this desperately sad news.”
It continued: “Caroline was a much loved member of the Love Island team and our sincere thoughts and condolences are with her family and friends.”
ITV2’s programme announcer said: “In light of today’s sad news we’re replacing tonight’s episode of Love Island: Unseen Bits with a double bill of You’ve Been Framed.”
Meanwhile, Channel 4 said its series The Surjury, which was to have been hosted by Flack, will not air.
A Channel 4 spokeswoman said: “We are shocked and saddened to hear the tragic news about Caroline Flack. Our deepest sympathies go out to Caroline’s family and friends.
“Under the circumstances, we have decided not to broadcast The Surjury.”
When the show was announced in October, the channel said it would feature a 12-strong jury of the public who would decide if people got the cosmetic surgery they dreamed of.