Method for the management of a warehouse that houses pneumatic tyres fitted with transponders and comprising the step of stacking the pneumatic tyres one on top of another such as to form vertical stacks; the method is characterized in that it comprises the further steps of: • moving over a floor of the warehouse an autonomously guided robot being capable of moving independently and supporting a reader device that is provided with a reader component and an antenna and that is capable of reading the transponders; • arranging the vertical stacks of pneumatic tyres on respective support elements, wherein each thereof supports at least one stack of pneumatic tyres at a distance from the floor of the warehouse that is greater than a vertical dimension of the autonomously guided robot in such a way that the base of each stack is at a distance from the floor of the warehouse that is greater than the vertical dimension of the autonomously guided robot; • moving the autonomously guided robot beneath a support element and beneath a first stack of pneumatic tyres such as to position the antenna at the center of the pneumatic tyres of the first stack, at the central cavities of the pneumatic tyres; • vertically raising the antenna in relation to a main body of the autonomously guided robot along a vertical direction such that the antenna rises within the central cavities of the pneumatic tyres of the first stack; • vertically lowering the antenna in relation to a main body of the autonomously guided robot along the vertical direction such that the antenna is extracted from the central cavities of the pneumatic tyres forming the first stack; and • reading, by means of the reader device, the transponders of the pneumatic tyres forming the first stack while the antenna is inside the central cavities of the pneumatic tyres forming the first stack. • moving over a floor of the warehouse an autonomously guided robot being capable of moving independently and supporting a reader device that is provided with a reader component and an antenna and that is capable of reading the transponders; • arranging the vertical stacks of pneumatic tyres on respective support elements, wherein each thereof supports at least one stack of pneumatic tyres at a distance from the floor of the warehouse that is greater than a vertical dimension of the autonomously guided robot in such a way that the base of each stack is at a distance from the floor of the warehouse that is greater than the vertical dimension of the autonomously guided robot; • moving the autonomously guided robot beneath a support element and beneath a first stack of pneumatic tyres such as to position the antenna at the center of the pneumatic tyres of the first stack, at the central cavities of the pneumatic tyres; • vertically raising the antenna in relation to a main body of the autonomously guided robot along a vertical direction such that the antenna rises within the central cavities of the pneumatic tyres of the first stack; • vertically lowering the antenna in relation to a main body of the autonomously guided robot along the vertical direction such that the antenna is extracted from the central cavities of the pneumatic tyres forming the first stack; and • reading, by means of the reader device, the transponders of the pneumatic tyres forming the first stack while the antenna is inside the central cavities of the pneumatic tyres forming the first stack.