The　location　of　logistics　distribution　center　contains　various　types　of　grey　information,　which　can　help　improve　usefulness　of　the　logistics　location.　In　this　paper,　grey　demand　and　grey　production　capacity　in　logistics　chain　have　been　discussed,　and　a　optimization　model　of　location　with　grey　demand　and　grey　production　capacity　is　propossed.　The　model　is　NP-hard,　then　a　hybrid　particle　swarm　optimization　based　on　grey　chance-constrained　programming　is　proposed　for　it.　The　example　results　show　that　the　model　and　the　algorithm　can　solve　the　problem　of　location　of　logistics　distribution　center　with　grey　demand　and　grey　production　capacity.