A　multiaxial　cycle　counting　method　was　proposed　by　path-dependent　line　integral　(PDLI).　In　the　proposed　PDLI　multiaxial　cycle　counting　method,　the　length　increment　of　loading　path　is　assigned　a　positive　or　negative　sign　in　the　strain　space,　and　the　interval　from　zero　to　the　maximum　value　of　PDLI　is　defined　as　a　half-cycle.　A　very　concise　recursive　algorithm　is　provided　to　implement　the　proposed　multiaxial　cycle　counting　method.　The　experimental　verification　showed　that　the　proposed　multiaxal　cycle　counting　method　was　used　to　count　multiaxial　cycle,　which　can　obtain　satisfactory　life　prediction　results　under　multiaxial　variable　amplitude　loading.　In　addition,　the　PDLI　multiaxial　cycle　counting　method　can　be　reduced　to　a　uniaxial　rainflow　counting　form.　©　2023