An apparatus (50) to provide knitted articles starting from a knitted hose has a tubular support (1) and a head of application (10) that fixes an elastic band (30) on the knitted hose (60) put on support (1) same. The elastic band (30) is fixed to the knitted hose (60) at edges which are cut following the desired shape of the article. In case of pants, the knitted hose (60) is initially subject to a step of making the apertures for the legs and then to applying elastic bands at the edges. Tubular support (1) is brought into rotation by a motor (25) about an electronically controlled axis (5) and cooperates with the head of application (10) sliding along a direction (16) and rotating about an axis (15) orthogonal to the axis of the support (1). A combined relative motion between support (1) and head (10) allows, then, to apply the band (30) at the edges of hose (60) with high precision and at a high speed. The head of application (10) can be moved according to two degrees of freedom pivotally connecting it by an arm (11) to a carriage (71) sliding on a guide (72) in direction (16). The angular position of the axis (5) of tubular support (1) can be instantly measured, for example, by coupling the motor (25) to an encoder, or a resolver, or a potentiometer, etc. Similarly, it is possible to know the position of the head of application (10) in order to carry out the application of elastic band (30) on the cut edges of hose (60) with high precision.