Aiming at the limited number of receivers in current simultaneous dense coding, an uncontrolled or controlled simultaneous dense coding protocol with multiple receivers is proposed by introducing $n$-bit quantum Fourier transform. In the uncontrolled multi-party simultaneous dense coding protocol, after the sender performs encoding and locking operations on the particles to be transmitted, only the receivers perform unlocking operations jointly, can they obtain the final encoding information at the same time. While in the controlled multi-party simultaneous dense coding protocol, only all receivers cooperate with the permission of the controller, can the transmission of information be completed. The security of the proposed protocol is verified by analyzing internal and external attacks. Besides, only Bell measurement is used in the proposed scheme, which is easy to implement under experimental conditions.