The invention relates to a construction including an implement for milking animals, provided with one or more milking robots (5), one or more teat cups (6) and one or more milk boxes (1). The teat cups (6) are disposed on a carrier (32) of a milking robot arm so as to form, in their inoperative position, an angle with a vertical line, while, when a relevant teat cup (6) is connected to a teat of an animal to be milked, the teat cup (6) is brought in a substantially vertical position by means of the carrier (32).