A machine for the continuous and moving tillage and screening of a compact surface, the machine comprising or being operatively connectable with forwarding means for moving the machine on the compact surface, the machine comprising: - at least one tiller comprising a plurality of tillage tools rotating around a first rotation axis to obtain a plurality of tilled clods, said tillage tools being configured and/or shaped to throw the tilled clods along a throwing direction (d); - at least one screen defining a working plane ( π) substantially parallel to said first rotation axis comprising a first end facing said at least one tiller and an opposite second end; - deflector means placed along said throwing direction (d) to intercept the tilled clods and to deflect them toward said at least one screen; wherein said deflector means, said tiller and said at least one screen are mutually configured and/or arranged so as the tilled clods thrown by said tillage tools and intercepted by the deflector means are deflect towards said first end; wherein said at least one screen is a star screen or a disc screen comprising a plurality of shafts rotating around a respective rotation axes (X') substantially parallel to each other and to said first axis to promote the moving of the tilled clods from said first end to said second end along a first forwarding direction substantially perpendicular to said first axis; wherein said deflector means include a carter placed above said tiller and said at least one screen, said carter having an impact surface configured and/or oriented in relation to said first end and to said tillage tools in order to be hit by the tilled clods thrown by the tillage tools and in order to promote the controlled fall of the tilled clods along a falling direction (dc) that intercepts said first end as a result of such impact; wherein said first end of said at least one screen and said at least one tiller are sequentially placed one after the other along said first forwarding direction. - at least one tiller comprising a plurality of tillage tools rotating around a first rotation axis to obtain a plurality of tilled clods, said tillage tools being configured and/or shaped to throw the tilled clods along a throwing direction (d); - at least one screen defining a working plane ( π) substantially parallel to said first rotation axis comprising a first end facing said at least one tiller and an opposite second end; - deflector means placed along said throwing direction (d) to intercept the tilled clods and to deflect them toward said at least one screen; wherein said deflector means, said tiller and said at least one screen are mutually configured and/or arranged so as the tilled clods thrown by said tillage tools and intercepted by the deflector means are deflect towards said first end; wherein said at least one screen is a star screen or a disc screen comprising a plurality of shafts rotating around a respective rotation axes (X') substantially parallel to each other and to said first axis to promote the moving of the tilled clods from said first end to said second end along a first forwarding direction substantially perpendicular to said first axis; wherein said deflector means include a carter placed above said tiller and said at least one screen, said carter having an impact surface configured and/or oriented in relation to said first end and to said tillage tools in order to be hit by the tilled clods thrown by the tillage tools and in order to promote the controlled fall of the tilled clods along a falling direction (dc) that intercepts said first end as a result of such impact; wherein said first end of said at least one screen and said at least one tiller are sequentially placed one after the other along said first forwarding direction.