Crimping apparatus for crimping pipe fitting members on flexible pipes, comprising: - a crimping unit capable of assuming an open configuration and a closed configuration, and including a pair of relatively movable jaws between which a crimping cavity is defined, which is adapted to receive a pipe and a respective pipe fitting to be crimped, which crimping cavity , in the open configuration of the crimping unit , is accessible from the outside of the apparatus through a side opening , - a set of crimping teeth facing said cavity , which are movable between an at least partly rearward position with respect to said cavity , and a forward position in which they project radially into the cavity in order to interfere with said pipe fitting to connect it by crimping to said pipe , - means for moving the crimping teeth between said rearward and forward positions, - a stationary structure for positioning at least one pipe and at least one pipe fitting in a predetermined crimping configuration, and movement means for spatially moving the crimping unit , which are adapted to bring the crimping unit to at least one zone of said at least one pipe that is positioned on the stationary structure , in order to perform a crimping operation of said at least one pipe fitting on said at least one pipe , characterized in that it comprises a pair of actuating arms each of which is connected to a respective jaw of the crimping unit to cause the movement of the crimping jaws along a common direction of displacement, between a spaced position, in which a pipe to be crimped can be introduced radially in said crimping cavity together with a respective pipe fitting , and a close position, in which said crimping cavity is radially closed outwards, both said actuating arms having a first end and a second end, the second end of each actuating arm being articulably connected to a respective jaw of the crimping unit by a respective hinge pin , said crimping unit comprising a frame provided with connection means to connect it to said movement means , which frame supports an actuator for controlling the movement of said actuating arms , the first end of both said actuating arms being articulated to a common rotation pin which is connected to a portion of said actuator that is movable with respect to said frame , which frame supports linear guide means to guide a sliding movement of said jaws along said common direction of displacement. - a crimping unit capable of assuming an open configuration and a closed configuration, and including a pair of relatively movable jaws between which a crimping cavity is defined, which is adapted to receive a pipe and a respective pipe fitting to be crimped, which crimping cavity , in the open configuration of the crimping unit , is accessible from the outside of the apparatus through a side opening , - a set of crimping teeth facing said cavity , which are movable between an at least partly rearward position with respect to said cavity , and a forward position in which they project radially into the cavity in order to interfere with said pipe fitting to connect it by crimping to said pipe , - means for moving the crimping teeth between said rearward and forward positions, - a stationary structure for positioning at least one pipe and at least one pipe fitting in a predetermined crimping configuration, and movement means for spatially moving the crimping unit , which are adapted to bring the crimping unit to at least one zone of said at least one pipe that is positioned on the stationary structure , in order to perform a crimping operation of said at least one pipe fitting on said at least one pipe , <EOS>