We examine a recent deformation of three-dimensional anti-de Sitter gravity based on noncommutative Chern–Simons theory with gauge group U(1, 1) × U(1, 1). In addition to a noncommutative analogue of 3D gravity, the theory contains two gauge fields which decouple in the commutative limit. It is well known that the level is quantized in noncommutative Chern–Simons theory. Here we show that it implies that the cosmological constant goes like −1 over an integer squared. We also construct the noncommutative AdS³ vacuum by applying a Seiberg–Witten map from the commutative case. The procedure is repeated for the case of a conical space resulting from a massive spinning particle.