A　vector　algorithm　of　incidence　angle,　reflected　position　and　sun　tracking　tilt-angle　of　linear　Fresnel　concentrating　solar　device　(LFR)　was　presented.　In　the　LFR　systems,　every　mirror　needs　to　track　the　sun　real　time　and　reflects　the　beam　radiation　to　fixed　linear　receiver,　therefore　some　concerned　quantities　consequentially　vary　throughout　the　year,　which　make　the　calculation　very　complexity.　The　derivation　processes　via　vector　analysis　were　simplified,　and　some　necessary　formulae　fitted　into　the　application　of　LFR　were　educed.　The　curves　of　various　quantities　on　average　days　for　months　in　2009　were　computed　based　on　idiographic　example.