Method for updating software integrated in a plurality of remote reading terminals (T1-T5) to be updated in an remote reading installation, said remote reading installation comprising the plurality of remote reading terminals (T1-T5) to be updated, a management server and a plurality of concentrators (C1-C4), each remote reading terminal (T1-T5) comprising a receiver, the method comprising a first step of transmission of update data from the management server to the concentrators (C1-C4) during which each concentrator (C1-C4) receives the update data from the management server, and a second step (S2, S2 1 and S2 i) of transmission of the update data from the concentrators (C1-C4) to the remote reading terminals (T1-T5), during which each concentrator (C1-C4) transmits the update data on a radio transmission channel (f1, f2) selected from a set of radio transmission channels, said second transmission step (S2, S2 1, S2 i) comprising, in addition, a reception channel selection step, during which each remote reading terminal (T1-T5) evaluates the quality of the signal received on various candidate radio reception channels belonging to all of said radio transmission channels (f1, f2), and selects, among the candidate radio reception channels, a radio reception channel for which the quality of the signal received is the best or sufficient to enable effective reception of the update data by the remote reading terminal (T1-T5), and a reception step, during which each remote reading terminal (T1-T5) adjusts its receiver to the selected reception channel (f1, f2) to receive the update data and in which, when a remote reading terminal (T1-T5) has received the update data, it transmits an acknowledgement message to the management server and in which, if, at the end of the second step of transmission of the update data from the concentrators (C1-C4) to the remote reading terminals (T1-T5), the management server has not received an acknowledgement message from all of the remote reading terminals (T1-T5) in the plurality of remote reading terminals (T1-T5) to be updated, the second step (S2 1, S2 i) of transmission of the update data from the concentrators (C1-C4) to the remote reading terminals (T1-T5) is repeated with a different distribution of the radio transmission channels (f1, f2) among the concentrators (C1-C4). a first step of transmission of update data from the management server to the concentrators (C1-C4) during which each concentrator (C1-C4) receives the update data from the management server, and a second step (S2, S2 1 and S2 i) of transmission of the update data from the concentrators (C1-C4) to the remote reading terminals (T1-T5), during which each concentrator (C1-C4) transmits the update data on a radio transmission channel (f1, f2) selected from a set of radio transmission channels, said second transmission step (S2, S2 1, S2 i) comprising, in addition, a reception channel selection step, during which each remote reading terminal (T1-T5) evaluates the quality of the signal received on various candidate radio reception channels belonging to all of said radio transmission channels (f1, f2), and selects, among the candidate radio reception channels, a radio reception channel for which the quality of the signal received is the best or sufficient to enable effective reception of the update data by the remote reading terminal (T1-T5), and a reception step, during which each remote reading terminal (T1-T5) adjusts its receiver to the selected reception channel (f1, f2) to receive the update data a second step (S2, S2 1 and S2 i) of transmission of the update data from the concentrators (C1-C4) to the remote reading terminals (T1-T5), during which each concentrator (C1-C4) transmits the update data on a radio transmission channel (f1, f2) selected from a set of radio transmission channels, said second transmission step (S2, S2 1, S2 i) comprising, in addition, a reception channel selection step, during which each remote reading terminal (T1-T5) evaluates the quality of the signal received on various candidate radio reception channels belonging to all of said radio transmission channels (f1, f2), and selects, among the candidate radio reception channels, a radio reception channel for which the quality of the signal received is the best or sufficient to enable effective reception of the update data by the remote reading terminal (T1-T5), and a reception step, during which each remote reading terminal (T1-T5) adjusts its receiver to the selected reception channel (f1, f2) to receive the update data and in which, when a remote reading terminal (T1-T5) has received the update data, it transmits an acknowledgement message to the management server and in which, if, at the end of the second step of transmission of the update data from the concentrators (C1-C4) to the remote reading terminals (T1-T5), the management server has not received an acknowledgement message from all of the remote reading terminals (T1-T5) in the plurality of remote reading terminals (T1-T5) to be updated, the second step (S2 1, S2 i) of transmission of the update data from the concentrators (C1-C4) to the remote reading terminals (T1-T5) is repeated with a different distribution of the radio transmission channels (f1, f2) among the concentrators (C1-C4).