The Nuclotron-based Ion Collider fAcility (NICA) is under construction in JINR. The NICA goals are providing of colliding beams for studies of hot and dense strongly interacting baryonic matter and spin physics. The accelerator facility of collider NICA consists of following elements: acting Alvarez-type linac LU-20 of light ions at energy 5 MeV/u, constructed a new light ion linac at ion energy 7 MeV/u with additional acceleration section for protons at energy 13 MeV, acting heavy ion linac HILAC with RFQ and IH DTL sections at energy 3.2 MeV/u, superconducting booster synchrotron at energy up 600 MeV/u, acting superconducting synchrotron Nuclotron at gold ion energy 4.5 GeV/n and two collider storage rings with two interaction points. The status of acceleration complex NICA is under discussion.