Placement　and　routing　are　two　critical　problems　in　very　large-scale　integration　physical　design.　However,　there　may　be　out-of-sync　between　the　two　problems　considering　congestion　and　wirelength.　Therefore,　it　is　desirable　to　design　an　efficient　and　highly　coupled　placement　and　routing　engine　to　narrow　the　gap　and　minimize　the　mismatch　between　placement　and　routing.　This　article　proposes　an　incremental　3-D　global　routing　engine　considering　cell　movement　and　complex　routing　constraints　to　relocate　cells　and　reroute　nets.　We　first　apply　a　queue-based　congestion-aware　3-D　maze　routing　with　routing　height　restriction　to　improve　the　initial　routing　solution.　Efficient　multinet-based　location　estimation　is　then　presented　to　find　the　best　location　for　each　cell　in　multiple　cell　movement　rounds.　In　each　step　of　cell　movement,　we　reroute　nets　for　all　candidate　cell　locations　in　parallel　using　a　guided　stack-based　3-D　routing　algorithm　while　considering　the　routing　constraints.　Finally,　we　adopt　an　edge-adjusting　technique　to　improve　the　routed　wirelength　further.　Compared　with　the　champion　of　the　2020　CAD　Contest　at　ICCAD　(Hu　et　al.,　2020)　and　the　state-of-the-art　works,　experiment　results　based　on　the　contest　benchmarks　show　that　our　proposed　algorithm　achieves　the　best　routing　wirelength　and　competitive　runtime　without　maximum　cell　movement　constraint.　　©　1982-2012　IEEE.