Abstract: Teleportation schemes based on probabilistic channels usually rely heavily on the implementation of high-dimensional unitary operations while high-dimensional unitary operations are verydiffcult to directly implement in physics experiments. This paper describes how to construct deterministic quantum channels via several commonly probabilistic channels. In our schemes, the sender orreceiver needs to introduce one or more auxiliary qubits into the probabilistic channel so that thesequbits are incorporated and entangled with the original qubits, and then execute a projective measurement or a positive operator-valued measure(POVM)on her/his qubits including the ancillas toestablish deterministic channel between the sender and her/his agents with a certain probability. In aquantum teleportation network, there are generally multi spatially remote agents which play the roleof relay nodes between a sender and a distant receiver. Hence, we present a scheme for constructing adeterministic channel between the sender and the distant receiver with the assistance of relay agents,respectively.