tower cress to·werc·ress uncommon noun 1. or genus Arabis: erect cress widely distributed throughout Europe Synonymstower mustardtower cressTurritis glabraArabis glabra 2. European cress having stiff erect stems; sometimes placed in genus Turritis Synonymstower cresstower mustardArabis turrita Related words Broader terms rock cresscress Parts ArabisTurritis WordNet 2.1 (Princeton University). WordNet 2.1 Copyright Princeton University. All rights reserved.