As　a　straightforward　way　to　fix　solar　energy,　photo/photothermal　catalysis　with　semiconductor　provides　a　promising　way　to　settle　the　energy　shortage　and　environmental　crisis　in　many　fields,　especially　in　clean　energy　conversion.　Topologically　porous　heterostructures　(TPHs),　featured　with　well-defined　pores　and　mainly　composed　by　the　derivatives　of　some　precursors　with　specific　morphology,　are　a　major　part　of　hierarchical　materials　in　photo/photothermal　catalysis　and　provide　a　versatile　platform　to　construct　efficient　photocatalysts　for　their　enhanced　light　absorption,　accelerated　charges　transfer,　improved　stability,　and　promoted　mass　transportation.　Therefore,　a　comprehensive　and　timely　review　on　the　advantages　and　recent　applications　of　the　TPHs　is　of　great　importance　to　forecast　the　potential　applications　and　research　trend　in　the　future.　This　review　initially　demonstrates　the　advantages　of　TPHs　in　photo/photothermal　catalysis.　Then　the　universal　classifications　and　design　strategies　of　TPHs　are　emphasized.　Besides,　the　applications　and　mechanisms　of　photo/photothermal　catalysis　in　hydrogen　evolution　from　water　splitting　and　COx　hydrogenation　over　TPHs　are　carefully　reviewed　and　highlighted.　Finally,　the　challenges　and　perspectives　of　TPHs　in　photo/photothermal　catalysis　are　also　critically　discussed.