Records dating back to the 1920s show peregrines nesting at the cathedral.
The birds of prey, which choose to nest in tall buildings as they mimic natural cliffs or mountains, were formerly listed as endangered after almost dying out in the 1960s.
This was due to the impact of insecticides entering the food chain and causing issues with their ability to lay eggs.
The wooden nest box the chicks were born in was installed in the 1980s by Norman Bonner, a former head carpenter at the cathedral.
People can visit the exhibition during the cathedral’s opening hours by paying a general admission cost.