Purpose　This　paper　aims　to　incorporate　a　numerical　investigation　of　unsteady　flow　of　nano-fluid　near　the　boundary　wall　and　heat　transmission　over　a　flat　sheet　in　porous　media　under　the　assumption　that　sheet　is　continuously　stretching.　A　comprehensive　study　is　accomplished　to　probe　the　impacts　of　different　physical　parameters　on　heat　transmission　and　fluid　flow.　Design/methodology/approach　The　problem　is　designed　mathematically　by　using　Navier-Stokes　equations　and　corresponding　equations　are　transmuted　into　non-dimensional　form,　which　are　reduced　to　local　non-similarity　equations.　Implicit　finite　difference　scheme　is　used　to　attain　a　non-similar　solution　for　values　of　similarity　variable　ranging　in　[0,1]　Findings　The　reduced　Nusselt　number　is　a　decreasing　function　of　each　dimensionless　number,　while　the　reduced　Sherwood　number　is　an　increasing　function　of　each　considered　value　of　parameters　Pr,　Sc,　Nb　and　Nt.　Originality　value　Motivated　by　the　industrial,　technological　and　scientific　importance,　the　objective　of　this　study　is　to　discuss　the　unsteady　flow　generated　by　linear　stretching　of　the　surface　in　Nano-fluid　in　a　porous　medium.　However,　the　investigation　of　unsteady　boundary　layer　flow　and　heat　transfer　of　a　Nano-fluid　past　a　stretching　surface　immersed　in　a　porous　medium　has　not　been　discussed　yet.　Furthermore,　finite　difference　scheme　is　used　to　solve　the　problem,　and　authenticate　results　are　achieved　which　are　in　good　agreement　with　published　work.