Yes, every person has his own unique fingerprint. No two fingerprints are alike, but the pattern of your fingerprint is inherited from close relatives and people in your immediate family. This is considered "level 1 detail." The detail of your actual finger and palm print is not inherited. This is considered "level 2 and 3 level detail" and is used to identify fingerprints from person to person.
The similarities that fingerprints have are the their patterns. These patterns are put into three different group types: loop, whorl and arch. A loop pattern is where the ridges enter from either side, re-curve and pass out the same side they entered. A whorl is where the ridges are in a circular pattern. And in an arch pattern, the ridges come in from one side, make a rise in the middle and exit on the opposite side from which they came in.
There are three different characteristics that fingerprints have: ridge endings, birfurcations and dots. These three characteristics appear in combinations on the hands and feet and are never repeated. Every person has her own special combination and this combination is never repeated twice. The characteristics can be identified very easily because they each have their own purpose and meaning. A ridge ending is the end of a ridge and a dot is a ridge that is so short that is looks like a dot. A birfurcation is is when a V-shaped split of a ridge turns into two.
So in conclusion, no two people have the same fingerprints. Even a set of identical twins will not have the same fingerprints. They may have some similarities, but the fingerprints themselves are completely different. You may inherit a pattern from your immediate family members or close relatives, but the details of your fingerprint are different from every other person on earth.
