The olive baboon is named for its coat, which, at a distance, is a shade of green-grey. At closer range, its coat is multicoloured, due to rings of yellow-brown and black on the hairs. The hair on the baboon's face is coarser and ranges from dark grey to black. This coloration is shared by both sexes, although males have a mane of longer hair that tapers down to ordinary length along the back.
Besides the mane, the male olive baboon differs from the female in terms of weight, body and canine tooth size; males are, on average, 70 cm (28 in) tall while standing and females measure 60 cm (24 in) in height. The olive baboon is one of the largest species of monkey; only the chacma baboon and the mandrill attain similar sizes. The head-and-body length can range from 50 to 114 cm (20 to 45 in), with a species average of around 85 cm (33 in). At the shoulder on all fours, females average 55 cm (22 in) against males, which average 70 cm (28 in). The typical weight range for both sexes is reportedly 10–37 kg (22–82 lb), with males averaging 24 kg (53 lb) and females averaging 14.7 kg (32 lb). Some males may weigh as much as 50 kg (110 lb).
Like other baboons, the olive baboon has an elongated, dog-like muzzle. In fact, along with the muzzle, the animal's tail (38–58 cm or 15–23 in) and four-legged gait can make baboons seem very canine. The tail almost looks as if it is broken, as it is erect for the first quarter, after which it drops down sharply. The bare patch of a baboon's rump, famously seen in cartoons and movies, is a good deal smaller in the olive baboon. The olive baboon, like most cercopithecines, has a cheek pouch with which to store food.
The species inhabits a strip of 25 equatorial African countries, very nearly ranging from the east to west coasts of the continent. The exact boundaries of this strip are not clearly defined, as the species' territory overlaps with that of other baboon species. In many places, this has resulted in cross-breeding between species. For example, considerable hybridisation has occurred between the olive baboon and the hamadryas baboon in Ethiopia. Cross-breeding with the yellow baboon and the Guinea baboon has also been observed. Although this has been noted, the hybrids have not as yet been well studied.
Throughout its wide range, the olive baboon can be found in a number of different habitats. It is usually classified as savannah-dwelling, living in the wide plains of the grasslands. The grasslands, especially those near open woodland, do make up a large part of its habitat, but the baboon also inhabits rainforests and deserts. Uganda and the Democratic Republic of the Congo, for instance, both support olive baboon populations in dense tropical forests.