This　paper　presents　a　weak　virtual　element　method　on　general　meshes　for　the　Stokes-Darcy　problem　with　the　Beavers-Joseph-Saffman　interface　condition.　The　velocity　is　discretized　by　the　H(div)　virtual　element.　The　pressure　is　approximated　by　discontinuous　piecewise　polynomials.　Besides,　a　polynomial　space　on　the　element　faces　is　introduced　to　approximate　the　tangential　trace　of　the　velocity　in　the　Stokes　equations.　The　velocity　on　the　discrete　level　is　exactly　divergence　free　and　thus　the　exact　mass　conservation　is　preserved　in　the　discretization.　The　well-posedness　of　the　discrete　problem　is　proved　and　an　a　priori　error　estimate　is　derived　that　implies　the　error　for　the　velocity　in　a　suitable　norm　does　not　depend　on　the　pressure.　A　series　of　numerical　experiments　are　reported　to　illustrate　the　performance　of　the　method.　(C)　2018　Elsevier　B.V.　All　rights　reserved.