With　respect　to　the　probabilistic　hesitant　fuzzy　two-sided　matching　decision　making　problems　with　aspiration　levels　on　criteria,　a　two-sided　matching　decision　making　method　based　on　the　regret　theory　is　proposed　considering　the　psychological　behaviour　of　regret　aversion　of　two-sided　matching　subjects.　Firstly,　a　new　Lance　distance　measure　and　a　Lance　score　function　of　the　probabilistic　hesitant　fuzzy　element　are　defined.　Then,　based　on　the　regret　theory,　a　probabilistic　hesitant　fuzzy　two-sided　matching　decision　making　method　with　aspiration　levels　on　criteria　is　proposed.　In　this　method,　the　criterion　utility　value　matrix　of　two-sided　matching　subjects　are　constructed　using　the　expected　utility　function　and　the　Lance　score　function　of　the　probabilistic　hesitant　fuzzy　element,　the　regret-rejoice　value　matrix　of　two-sided　matching　subjects　relative　to　the　aspiration　levels　on　criteria　are　built　using　the　regret-rejoice　function,　and　the　perceived　value　matrix　of　two-sided　matching　subjects　relative　to　the　aspiration　levels　on　criteria　are　set　up　according　to　the　regret　theory.　Furthermore,　an　optimization　model　is　constructed　using　the　ideas　of　maximal　deviation　method　and　the　new　Lance　distance　measure　of　the　probabilistic　hesitant　fuzzy　element　to　obtain　the　weight　vectors　of　the　criteria,　the　comprehensive　perceived　value　matrix　of　two-sided　matching　subjects　are　built　using　the　linear　weighted　method,　and　the　satisfaction　degree　matrix　of　two-sided　matching　subjects　are　set　up　using　the　range　transformation　method.　Based　on　these,　a　multi-objective　optimization　model　is　constructed　considering　maximal　satisfaction　degree　and　the　stability　of　two-sided　matching　alternatives,　and　the　stable　two-sided　matching　outcomes　are　obtained　by　solving　this　model.　Finally,　an　example　is　given　to　illustrate　the　effectiveness　and　practicability　of　the　proposed　two-sided　matching　decision　making　method.　©　2022　Northeast　University.　All　rights　reserved.