This article reviews recent progress in understanding entanglement entropy within the AdS/CFT correspondence. It begins with an overview of the general idea of holographic entanglement entropy and its applications to confinement/deconfinement phase transitions, black hole entropy, and the covariant formulation of holography. The paper discusses the definition and properties of entanglement entropy, its behavior in quantum field theories, and its relation to black hole entropy. It presents the holographic formula for entanglement entropy, which is derived from the Bekenstein-Hawking formula and is used to compute entanglement entropy in various dimensions. The paper also explores the use of entanglement entropy as an order parameter for phase transitions and its role in understanding quantum phases of matter. It discusses the holographic calculation of entanglement entropy in AdS/CFT, including its application to black hole entropy and the behavior of entanglement entropy in different dimensions. The paper concludes with a summary of the current status of holographic entanglement entropy and potential future directions.This article reviews recent progress in understanding entanglement entropy within the AdS/CFT correspondence. It begins with an overview of the general idea of holographic entanglement entropy and its applications to confinement/deconfinement phase transitions, black hole entropy, and the covariant formulation of holography. The paper discusses the definition and properties of entanglement entropy, its behavior in quantum field theories, and its relation to black hole entropy. It presents the holographic formula for entanglement entropy, which is derived from the Bekenstein-Hawking formula and is used to compute entanglement entropy in various dimensions. The paper also explores the use of entanglement entropy as an order parameter for phase transitions and its role in understanding quantum phases of matter. It discusses the holographic calculation of entanglement entropy in AdS/CFT, including its application to black hole entropy and the behavior of entanglement entropy in different dimensions. The paper concludes with a summary of the current status of holographic entanglement entropy and potential future directions.