  This paper is devoted to the construction of conditional logic system of
{\L}ukasiewicz m-valued propositional logic. We construct conditional logic
system {\L}CR based on {\L}ukasiewicz m-valued propositional logic. We
construct world semantics for the system by generalizing conditional and
accessibility relation from classical bivalent to m-valued, and prove its
soundness, completeness and finite model property. Conditionals of {\L}CR
cannot be generalized directly to variable strict conditionals, but they are
stricter than classical conditionals.
