Is it necessary to stop working with one's father to avoid the family relationship tension resulting from his short temper and threats of dismissal?

If you can continue working with your father and endure his blame while avoiding provoking him, then stay with him, especially if he needs your work or if you need the work. However, if you fear that your relationship will deteriorate by your continuing to work, then there is no impediment to leaving the work to preserve your relationship.