The club's manager Roberto Martinez will give a speech at the service on April 15, while chairman Bill Kenwright will be in attendance at Goodison with the rest of the first-team squad to watch the live screening.
"Two much-admired, world famous football clubs have stood shoulder-to-shoulder since the unimaginable tragedy at Hillsborough some 25 years ago," said Kenwright.
"Everton will continue to provide support whenever we can to the remarkable Hillsborough Family Support Group.
"We are proud of them, and for them. We also know that the compassion and fraternity that transcends our city would have been there, unswerving and unconditional, if the balls (in the FA Cup semi-final draw) had simply come out of the bag differently prior to that fateful day."
After the screening Everton will hold a short memorial of their own after which a group of local school children will lead a procession from Goodison Park to Anfield, holding 96 linked football scarves to represent the unity of Everton and Liverpool since the disaster in 1989.
Last week, Everton announced they would erect a Hillsborough memorial plaque to pay tribute to the 96 fans who lost their lives.