A non-coherent multi-user MIMO communication method is disclosed. Firstly, a data transmission method includes the acts of a) estimating the signal-to-noise ratio for each receiver; b) selecting a power sharing factor for each receiver; c) encoding information to be sent to each receiver into a symbol for each receiver; and d) transmitting, by a transmitter, a signal that includes the power sharing factors and the symbols for all of the receivers. Furthermore, a reception method includes the acts of: i) receiving the power sharing factor; ii) decoding the signal corresponding to the highest power sharing factor; iii) determining if the signal decoded in step ii) corresponds to the current receiver; iv) if the decoded signal corresponds to the current receiver, finalize the reception; and v) if the decoded signal does not correspond to the current receiver, proceed with the following power sharing factors.