Abstract: The properties of implication⁃based monotone operators were investigated in residuated lattices. Firstly,a comparable investigation was made for the implication⁃based isotone and the implication⁃based antitone operators, and then the differences between them were given. Secondly, the properties of composition of the implication⁃based isotone and the implication⁃based antitone operators were discussed. Finally, the topological structures on residuated lattices with implication⁃monotone operators were analyzed, and it was proved that the sets of the implication⁃based isotone forms an Alexandrov fuzzy topology.