Mu desynchronization, the decrease of mu rhythm in the sensorimotor cortex, as measured by electroencephalography (EEG), is believed to reflect increased activation of the sensorimotor system in the brain. This neural phenomenon has also been observed prior to the execution of an action, suggesting its involvement in action anticipation. Previous research has shown that infants who exhibited stronger mu desynchronization while observing the initial phase of a reaching-to-grasping action also demonstrated higher functional connectivity between their motor and visual regions by the end of the action. However, it remains unclear whether this predictive relationship extends beyond neural activity to behavior—specifically, whether mu desynchronization before an action can predict infants’ attention to the subsequent action. To investigate this, the current study examined whether infants’ mu desynchronization at the beginning of an action could predict their attention to the subsequent action. Results revealed that when infants exhibited stronger mu desynchronization before the onset of an action, they were more likely to look away while watching the subsequent action. Further analysis on looking duration revealed a weak but significant association between mu desynchronization and shorter looking duration. Overall, stronger mu desynchronization before the onset of an action was associated with reduced attention to later action, which might be explained by their decreased interest in the action after forming the prediction that an action would happen. These findings support the notion that mu desynchronization plays a role in action prediction and can predict infants’ later attention to actions.