A display apparatus, a terminal apparatus, and controlling methods are provided. The display apparatus includes: a communicator to communicate with a terminal apparatus or a relay server in order to receive collected status information about at least one peripheral device from the terminal apparatus, a display unit to display a user interface (UI) screen; and a controller to generate a control UI for controlling the at least one peripheral device or a security UI for monitoring a peripheral space through the at least one peripheral device based on the status information about the at least one peripheral device and based on whether a communication with the terminal apparatus is possible, thereby controlling a home device t in real time according to a communication status with the terminal apparatus.