Boruto's training with his father, Naruto, influences his ninja way by teaching him the importance of hard work, dedication, and perseverance. Naruto instills in Boruto the values of never giving up, always striving to be better, and cherishing the bonds he forms with others. Through their training sessions, Boruto learns valuable lessons about what it truly means to be a ninja and how to navigate the challenges that come with it. Overall, Naruto's influence on Boruto's training helps shape his growth as a ninja and as a person.