Despite Law's outward stoic demeanor and apathetic attitude towards Luffy, Law does seem to like him. He also seems to accept following Luffy's lead when it comes to carrying out their plans and tolerates the Straw Hat's captain taking the initiative in a lot of situations, even if it can annoy him from time to time.The two first met at Sabaody Archipelago inside the Human Auction House, Law witnessed Luffy punch the Celestial Dragon, Charlos. He smiled at Luffy's defiance towards the World Noble and fought alongside him, as well as Eustass Kid, when the Marines surrounded the auction house. Following this, the two went their separate ways.Law and his crew traveled to Marineford during the Summit War of Marineford to assist with Luffy's escape, and then later administered medical treatment to him. As he said, while Luffy would one day be his enemy, an enemy relationship is still a relationship and that it would be a "damn shame" for Luffy to die at Marineford. He then left Luffy in the company of Jinbe and Silvers Rayleigh before Luffy could thank him.Following the time skip, Luffy met Law again on Punk Hazard after Law became one of the Seven Warlords of the Sea, he saved Luffy and Nami from the Yeti Cool Brothers. He then asked Luffy to form an alliance with him to take down the emperor, Kaidou. Luffy agreed, making their crews allies in a relationship (which Luffy perceives to be as practically a friendship, but Law sees as more of a professional agreement). Luffy often treats him very casually, like a good friend, something which Law usually frowns upon. Law has invested enough in this alliance that, despite it having nothing to do with their agreement, he decided to help Luffy and his crew save the kids on Punk Hazard, even though he himself only viewed them as a burden. He also has a lot of faith in Luffy, as he asserted to Doflamingo that Luffy would capture Caesar without a problem. Law does seem to have some doubts about Luffy's reliability and carefree attitude. When Luffy sent Caesar flying instead of capturing him as he was supposed to, Law remarked that he knew he should not have formed an alliance with him and resorted to trying to capture Caesar himself. However, after Luffy put his faith in Usopp and Nami to incapacitate the deranged scientist, which they did, he expressed satisfaction that Luffy upheld his end of their agreement.
