An elastic hinge for a notebook computer has an L-like seat secured on a body of the computer, with a hole of which a section is formed as a numeral “8”. A pintle has a first part extending through a barrel, and a second part extending through the hole of the seat. The barrel has two tubular portions for the pintle extending therethrough, and a plate extending from the tubular portions and secured on a monitor of the computer. A torsional spring is provided outside the second part. When a locking member of the computer is released, under the elastic force of the torsional spring, the pintle will be rotated to automatically raise the monitor about an angle of 30° relative to the body of the computer.