The revival of Tennessee Williams' 1955 play is to open at New York's Broadhurst Theatre in March.
Rose will play the iconic Southern belle character Maggie the Cat, while Howard will make his Broadway debut as her alcoholic husband, Brick, Variety.com reported Tuesday.
Jones and Rashad will portray Brick's parents in the fifth production of "Cat" to play on Broadway. The last staging took place in 2003.
"I am thrilled to stand at the helm of this unique production as we navigate our way through Tennessee Williams' riveting and explosive American classic. 'Cat,' said to be his favorite of his many plays, achieves a timeless coherence with its characters as they wrestle with the universal struggles of life, love, money, sex and death," Allen said in a statement at the time the production was announced.