The Music of men at work is not really a solid genre, but more a hybrid, New Wave is perhaps the closest single to describe it as, as well as Rock/Pop and to an extent reggae too.
New Wave is a subgenre of rock music, which was born in the 1970's in Britain and the United States, it coincided with the Punk Revolution, it was experimental and with classic rock aspects and more contemporary electronic and disco music.
New Wave musicians did not want to be associated with the Punk style anarchism of bands like The Sex Pistols but recognized in their own right. Many bands and artists arose as "New Wave" including Ian Dury, Dr. Feelgood and Elvis Costello. Bands like Madness were put into this category, adding dance beat to the style of music. The music later became softer and the add of synthesizer's making it more ambitious and less "pop" inspired. Similar to Joy Division and The Cure. During the 1980's many adopted the style of music like The Human League, Depeche Mode and The Pet Shop Boys.
Current bands have been influenced strongly by this genre like The Killers, Bloc Party and The Kaiser Chiefs.
There is a connection with the style of music Men at Work perform and that of The Police as they both use a style of reggae in their music, being one of the first white and British bands to perform reggae inspired music, as well as the Clash. The Police are often classed as one of the first New Wave bands to gain mainstream success.