Luffy has discovered that Dragon the Revolutionary, the most wanted man in the world, is his father. The two have yet to talk to each other. In fact, their only meeting was when Dragon rescued Luffy from being captured by Smoker in Loguetown, and the only thing Luffy said to him was “who’s there?” while being pinned headfirst to the ground by Smoker. It is highly probable that Dragon cares for his son’s life because he saved him in Loguetown and he always looked towards East Blue where his family lived. Dragon seems to expect great things from Luffy, much like his grandfather. However, unlike Garp, Dragon seems to be in favor of Luffy’s decision to lead his own crew as a pirate, although he believes they will meet someday. Luffy was unaware of who Dragon was before he was told by Garp and did not understand what the revolutionaries are capable of doing to the world when told about it by Ivankov. So far Luffy has not mentioned anything about how he feels toward Dragon and his ideals, but he is fine with people knowing that he is Dragon’s son.
During the Totland Arc, Luffy reads a newspaper where he is able to see his father’s face for the first time in his life. He is comically surprised to see the latter but casually remarks that Dragon doesn’t look like him before admitting to being more worried about Sabo than his father when hearing that the Blackbeard Pirates attacked the Revolutionary Army.