Add Comment Question: Can an employer dismiss an employee for not completing the mandatory OHSA/Regs. training. There are 4 that must be completed Answer: If it was a lawful direction and a requirement to complete the training, and there is no valid reason why the employee is refusing to do so, then an employee's refusal to do so constitutes insubordination and would allow the employer to terminate the employee, likely even for cause. Your Comment * Your Email * Your Name * Your City Note, your name, city and email is not displayed on the website. It is used to notify you that we have approved your comment.