He's fixed on you. If you find him establishing more eye contact with you or catching a guy looking at you, he is most likely attracted to you. He could be smitten by your beauty and fantasize about kissing you. Perhaps he looks at you and grins; this might indicate that he likes you as well. The more he stares, the better! It is his way of showing interest in you. Try not to look too startled or annoyed by his attention, as this will only make him want you more. If he keeps staring at you, try not to look away every time he does. This will only make him curious about what you are doing. And when a guy is curious about something, he will usually go out of his way to find out more about it. For example, if you keep looking away then he might start looking around you search for an opportunity to catch another glimpse of your face. When you first meet a new guy there is usually a lot going on inside our heads. We are trying to figure each other out, and we are doing so by observing his behavior. So if he is looking at you then he is probably finding you attractive. Show him that you feel the same way by giving him a smile or nodding your head. This will let him know that you are interested in talking to him. Of course, there are times when a guy stares at you without any intention of finding you attractive.