We　used　a　3D　finite　element　method　(FEM)　to　calculate　the　interaction　force　between　two　uniformly　magnetized　particles.　The　calculation　results　of　finite　element　are　compared　with　the　calculation　results　of　two　magnetic　dipole　formulas　commonly　used　in　literature.　The　magnetic　strength　and　magnetic　induction　intensity　on　the　surface　of　a　magnetized　particle　in　magnetic　field　is　integrated,　then　the　magnetic　field　strength　H　herm　in　formula　is　corrected　and　a　more　accurate　magnetic　dipole　formula　is　derived.　The　results　show　that　when　the　inter-particle　distance　is　less　than　2.　5　times　the　particle　diameter,　compared　with　the　finite　element　calculation　results,　the　error　of　magnetic　dipole　formulas　is　significant.　The　error　decreases　with　the　increase　of　inter-particle　distance,　but　the　minimum　value　is　still　more　than　31%.　Compared　with　the　3D-FEM,　the　error　of　magnetic　force　calculated　by　the　new　formula　can　be　reduced　to　less　than　3%,　which　significantly　improves　the　calculation　accuracy　of　magnetic　force　between　adjacent　magnetic　particles.　©　2023　China　University　of　Mining　and　Technology.　All　rights　reserved.