Based　on　historical　data　of　CSI　300　index　and　purchasing　manager＇　data　between　April　2005　and　June　2017,　this　paper　uses　detrend　cross-correlation　analysis　(DCCA),　multifractal　asymmetric　detrend　cross-correlation　analysis　method　(MF-ADCCA),　detrend　cross-correlation　analysis　on　the　time-delay　to　study　the　dependence,　asymmetry　and　transmission　direction　of　China＇s　stock　market　and　economy,　then　introduces　the　detrend　cross-correlation　coefficient　(DCCA　coefficient)　to　compare　and　analyze　the　condition　of　domestic　and　foreign　countries.　The　results　indicate　that　the　cross-correlation　between　stock　market　and　economy　is　persistent,　which　shows　that　there　is　mutual　influence　between　stock　market　and　economy.　The　cross-correlation　is　asymmetric,　indicating　that　the　cross-correlation　is　more　durable　when　the　stock　market　return　rate　or　the　rate　of　economic　growth　is　on　the　rise.　There　is　inconsistency　between　the　trend　of　stock　market　and　the　trend　of　economy,　which　indicates　that　the　stock　market　is　not　the　barometer　of　the　economy.　The　casual　relationship　between　them　is　bidirectional.　For　the　same　length　of　time-delay,　the　stock　market　could　have　a　greater　impact　on　the　economy.　Compared　with　the　condition　of　the　United　States,　Britain,　the　cross　correlation　between　Chinese　stock　market　and　economy　is　the　weakest.　The　above　results　provide　important　reference　for　macroecononic　forecasting　and　regulation.　©　2020,　Editorial　Board　of　Journal　of　Systems　Engineering　Society　of　China.　All　right　reserved.