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This paper proposes a bicycle navigation system following traffic rules in order to solve the problem of increasing bicycle accidents depend on violation of traffic rules. First, we extend node maps constructed for cars and establish route search algorithm following the left-hand traffic. Next, we construct three types of route search methods (existing search mode, left-hand traffic search mode, left-hand traffic and walking search mode) and perform an evaluation experiment about the travel time following the left-hand traffic. The result shows the increase of the time following the left-hand traffic is small. Also, we do a questionnaire survey and check that the proposed system is acceptable.