Hope, who won the BBC's Over The Rainbow casting show in 2010, will play Catherine Hiatt, alongside Robyns, whose West End credits include Spamalot, Les Miserables and Avenue Q, as her husband Jamie Wellerstein.
The production will be directed by Katie Pesskin, who is currently directing Oscar Wilde musical De Profundis, winner of Leicester Square Theatre's New Musical Project. Musical direction is by Michael Riley, whose credits include The World Goes Round at the Union Theatre.
The Last Five Years transfers to The Warren Theatre in Brighton from 21 to 24 May 2014 following its run at Greenwich Theatre from 15 to 17 May.
Set design is by Samuel Wye (The Elephantom), with lighting by Nathan Long and casting by Benjamin Newsome. It's produced by Katie Pesskin for As Told By and Susan Winter for Greenwich Theatre.