Individuals whose basic needs are naturally satisfied are much less dependent on their environment and more autonomous. Basic psychological needs (i.e., the general motivators of human actions) are significant predictors of online gaming addiction. Moreover, it has been posited that meaning and responsibility in life are at the center of life from an existential point of view. Therefore, a hypothetical model was tested to examine the relationships between basic psychological needs (autonomy, competence, relatedness), online gaming addiction, responsibility, and meaning in life. Data were collected from a sample of 546 participants. Mediation analysis was conducted, and the results indicated that basic psychological needs, online gaming addiction, responsibility, and meaning in life had significant negative and positive relationships. The findings indicated that responsibility and meaning in life had a serial mediating effect in the relationship between basic psychological needs and online gaming addiction. The findings also showed that the inverse relationship between online gaming addiction and basic psychological needs was at least partially explained by meaning in life and responsibility. The results of the present study are of great importance and suggest that interventions to satisfy the basic psychological needs of adolescents may help prevent online gaming addiction.