Tomura has a sinister and warped personality; he doesn't care for his or anyone else's life, and he will do whatever it takes to accomplish his goals. He has no qualms about tasks such as killing U.A. High School students in order to provoke All Might and threatening to kill dozens of civilians unless Izuku cooperated with him.
Tomura seems to be looking for attention, as he was very irritated that his League of Villains and Nomu were overshadowed by the capture of the Hero Killer. As such, he will get angry when somebody admires or even mentions Stain.
Tomura may have an adult body, but he seems to be childish in mindset. He is very arrogant, selfish, and demanding. If things do no go his way, he becomes angry in a way that is akin to a child's tantrum. Like a child, he does not seem to be able to cope with his own feelings, and instead lashes out, abusing both others and himself, such as tearing at his own neck when he becomes frustrated. He is shown to be mentally disturbed, and has developed somewhat of an emotional dependency on the hand that obscures his face, which he refers to as "Father" and speaks to it as if it were a living person.