It is named after the craters Dirichlet (on the southeast margin) and Jackson (northwest of the basin).

The basin is not obvious on the lunar surface due to being obscured by subsequent impacts.

It was confirmed by topographic mapping by the Clementine spacecraft in 2000.

[1] The existence of the basin was confirmed by the GRAIL spacecraft.

Due south of the basin is Engel'gardt (and the Selenean summit).