I assume that you are questioning the kind of relationship he had with his sons. The narrative in Luke 15:11-31 gives the answers, and the Bible quotes below are from the New Living Translation.
Parent-child relationships are largely the responsibility of the parent. The parent is the one responsible for loving no matter what, and for keeping the doors of communication open because their children are learning from them.
Verse 20 shows a father who loved his younger wayward son who later repented: "Filled with love and compassion, he ran to his son, embraced him, and kissed him." The son's wayward behavior does not disprove his love for his father, and his confession in verses 18 and 21 showed respect and trust, synonyms of love in rebellious youth. He returned home because he knew his father loved him.
The father also loved the older son. In verse 31, he tells this son, "Look, dear son, you have always stayed by me, and everything I have is yours." He vented his anger (verses 28-30) toward the father, but the father took the time to explain how love works in a family.
It is clear that both of the sons were in the process of understanding love, and that their father was actively demonstrating it. This is a great relationship between father and sons.