A method of reading a group of memory words from an integrated circuit memory of a contactless tag, comprising the sending by a remote interrogation unit to the contactless tag of a specific command for reading the group of memory words from a given start address, the initialization of an address counter for the contactless tag to the value of the given start address, and the sending by the contactless tag of the memory word at the start address, as well as an iterative process comprising in succession a first step of sending by the remote interrogation unit to the contactless tag of an incrementation marker recognizable by the contactless tag, a second step of incrementation of the address counter for the contactless tag in response to the incrementation marker, and a third step of sending by the contactless tag to the remote interrogation unit of a data frame comprising the memory word stored in the memory at the address pointed at by the current value of the address counter.