Peroxisomal protease that mediates both the removal of the leader peptide from proteins containing a PTS2 target sequence and processes several PTS1-containing proteins. Catalyzes the processing of PTS1-proteins involved in the peroxisomal beta-oxidation of fatty acids. Homodimer. Forms a heterodimer with the C-terminal cleavage product (45 kDa form). Forms a heterodimer with the N-terminal cleavage product (15 kDa form). Interacts with PEX5. Interacts with LONP2. Self-cleavage gives rise to an N-terminal 15-kDa fragment and C-terminal 45-kDa fragment upon import into the peroxisomes. The full-lengh TYSND1 is the active the proteolytic processing of PTS1- and PTS2-proteins and in self-cleavage, and intermolecular self-cleavage of TYSND1 down-regulates its protease activity. Belongs to the peptidase S1B family.