In this study, we apply an interactive agentbased model to investigate fundamentalists and positive-feedback traders behaviors in cryptocurrency markets. Our results suggested that fundamentalists pushed up cryptocurrency prices in some past periods. In addition, the cryptocurrency markets are instable and agitated. Highlights We apply an interactive agentbased model to investigate the cryptocurrency appreciation. Our results suggest that fundamentalists pushed up Bitcoin price from 2017 to 2018. The cryptocurrency markets are instable and agitated.