For　the　change　of　uncertainty　caused　by　the　influence　of　time　on　the　bolt　connection　during　use,　this　paper　is　based　on　a　time-varying　uncertainty　design　method　for　several　parameters　that　change　with　time.　The　method　consists　of　stochastic　differential　equations.　The　bolt-on　time-varying　design　combines　mathematical　models　of　the　distribution　parameters　of　multivariate　random　variables.　The　design　method　of　bolting　connection　with　uncertainties　of　various　influencing　factors　with　time　is　proposed,　and　the　time-varying　design　of　tightly　connected　bolts　subjected　to　axial　working　load　is　taken　as　an　example.　The　method　considers　the　dynamic　changes　of　the　stress　and　the　allowable　stress　of　the　bolted　joint,　so　that　the　safety　of　the　bolted　product　is　more　accurately　evaluated　for　dynamic　reliability.　Through　this　method,　combined　with　the　set　initial　values　of　the　parameters　and　the　historical　data　obtained　by　the　test,　the　reliability　of　a　certain　time　can　be　calculated.　The　design　of　the　example　uses　Matlab　to　simulate　the　data,　and　the　reliability　of　the　specified　time　is　obtained,　which　is　the　test　of　the　bolting　result.　And　assessment　provides　an　important　reference.　©　Published　under　licence　by　IOP　Publishing　Ltd.