The Combined Cognitive Bias Hypothesis proposes that emotional information processing biases associate with each other and may interact to conjointly influence mental health. Yet, little is known about the interrelationships amongst cognitive biases, particularly in adolescence. We used data from the CogBIAS longitudinal study (Booth et al. 2017), including 451 adolescents who completed measures of interpretation bias, memory bias, and a validated measure of general mental health in a typical population. We used a moderated network modelling approach to examine positive mental health related moderation of the cognitive bias network. Mental health was directly connected to positive and negative memory biases, and positive interpretation biases, but not negative interpretation biases. Further, we observed some mental health related moderation of the network structure. Network connectivity decreased with higher positive mental health scores. Network approaches allow us to model complex relationships amongst cognitive biases and develop novel hypotheses for future research.