Abstarct: According to the AdS/CFT correspondence, a single quark’s dual is a string which is extended from the quark to the bulk space. Using the equation of motion obtained from the string’s action in black hole metric, its feature is straight and is extended from boundary to black hole’s horizon. In this thesis we analyze string’s feature in confining background. This means that we consider in the bulk space a cut off. In the other word relating the holografic radius with energy indicate in the boundary theory that bulk confinement is proportional with quark when it is in hadron. By the results obtaning from solving equations motion of, if the quark isn’t free, its corresponding string hasn’t been reached the blackhole’s horizon but is bended in one limit of holografic dimension which we named it ”confining horizon” and is continued stretched along with this assymptotic. We also analyze a moving quark with constant velocity v. In this case, similar to static quark, the string’s feature is also confined asymptotically by horizon but with this difference that the value of quark’s velocity is entered in equation, although its direction hasn’t any influence on string’s feature. In the other part of this thesis small oscillations of string are studied and the equation of motion them are studied for both static and moving quarks. These oscillations are divided in two type; transverse and longtitude with respect to the string direction. of course this seperations mode limited to the case of confinement geometry. According to the obtained results in blackhole’s background, the transverse and longtitude oscillation are equal also there is an upper bound for them. While there is a lower bound for oscillation in confinement geometry.