We have implemented automatic diagnosis function of kit-build concept map that made by a learner. In our previous research, we have realized a support function to correct “uncorrected links” that are detected by the diagnosis and experimentally evaluated the effect of the support. In this paper, we report an implementation of a support function to correct “misconnected links” and results of an experimentally evaluation of the support comparing with the support for uncorrected links. As the result, we have confirmed that the support for misconnected links is more effective to complete learner's concept map than the support for unconnected links. The result also suggested that the support for unconnected links promoted learners to think more carefully about the links and maps than the support for misconnected links, although there was no significant difference in learning effects in test scores and map scores. Management of these two supports with two difference characteristics is our future work.