Apparatus for respiratory support and non-invasive detection of alveolar recruitment/derecruitment provides air supply to a patient at a base pressure and an additional pressure which can be varied at a frequency of from 5 to 10 Hz and transducers applied to the conduits supplying air to the patient to send electric signals to a computer to obtain a variable positive end-expiratory pressure and a to obtain an end expiratory resistance at varying values of positive end expiratory pressure and defining the state of pulmonary recruitment as the value of the positive end-expiratory pressure which corresponds to a point of maximum expiratory resistance.