A general scheme for controlled teleportation of an arbitrary m-qubit (high-dimensional quantum system) state with a d-dimensional (2m+1)-particle entangled state is presented. The arbitrary m-qubit state can be teleported if the sender (Alice) performs m generalized Bell state measurements on his particles and the controller (Bob) performs single particle generalized X-basis measurement on his particle. The original m-qubit state can be reconstructed on the receiver′s particles if the receiver (Charlie) performs corresponding unitary operations on his particles according to the measurement results of the sender and the controller. The scheme has the advantage of transmitting much less particles for controlled teleportation of an unknown m-qubit state than others. Moreover, the application of the scheme by using a nonmaximally entangled state as its quantum channel is discussed. The original m-qubit state can be probabilistically reconstructed on the receiver′s particles if the receiver introduces an auxiliary qubit and performs the general unitary transformation on his entangled particles and the auxiliary qubit. The relationship between the success probability that the receiver obtains the originally m-qubit state and the coefficients of the pure entangled quantum channel is also discussed.