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 (Z) 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 (Z) 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 (Z) 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 (Z) 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. <EOS>