Abstarct: In this thesis, we introduce the generalized uncertainty principle and we expect to obtain standard relation in limited state. We describes how to ocheive the generalized uncertainty principle (GUP) and find that this generalized uncertainty principle has a minimal length, that consequence with the string theory that generalized parameter corresponding with Planck length. Also we introduce the extended uncertainty principle (EUP) that in limited state change to Heisenberg uncertainty principle and it has a non zero minimum uncertainty in momentum. Also we know that GUP and EUP and extended generalized uncertainty principle (EGUP) are modified equation from Heisenberg uncertainty principle. in this thesis we obtain relativistic and non relativistic equation with modified uncertainty principle. Then we investigate algebraic approach with doubly special relativity on generalized uncertainty principle. Also we obtain modified equation for position and frequency with using Heisenberg algebra in GUP and EUP. Then we have used the extended generalized uncertainty principle to investigate Unruh temperature and thermodynamic properties of a black hole. This study starts from a brief perusal of the Heisenberg uncertainty principle and some physical and mathematical discussion for obtaining the generalized and the extended generalized uncertainty principle. Then, using the discussion, it has been shown in detail how Unruh temperature, mass, specific heat and entropy of a black hole may be extended.