The station is located by the north quay of the Royal Albert Dock and is opposite Beckton District South Park, which is open space leading to housing in South Beckton. It was in 2020 noted as the most lightly used station on the DLR. A previous railway station called Central was located largely on the same site from 1880 to 1940, on the former line from Custom House to Gallions.

Along with neighbouring Cyprus station, Beckton Park station is of an unusual design. Between the two stations, the DLR runs in the median of a major road built at the same time as the railway. The stations are located at junctions which take the form of roundabouts. On the approach to the roundabout, the road rises slightly whilst the railway dips slightly.