As a special type of quantum correlation stands between quantum entanglement and Bell nonlocality in the hierarchy of quantum correlations, quantum steering is usually described as that one party, Alice, can steer the state of a distant party, Bob, by local measurements on Alice. There are situations where Alice can steer Bob's state but Bob cannot steer Alice's state, or vice versa, which are referred to as one-way steering. Continuous variable entanglement plays an important role in quantum information processing. In general, the quantum fluctuations of the two quadrature components of the continuous variable entangled state are symmetric. We will refer to this as unbiased entanglement. Gaussian biased entangled state is an easily produced special asymmetric quantum entangled state, where the quantum noises of amplitude and phase quadratures are asymmetric, and it has been applied in the field of quantum information. However, the quantum steering properties of Gaussian biased entangled state remains unknown. In this paper, we analyze quantum steering of the bipartite and tripartite Gaussian biased entangled states and the transmission properties of them in noisy channels, and compare the results with quantum steering of Gaussian unbiased entangled states. We generate the bipartite and tripartite biased entangled states by coupling a phase-squeezed state and vacuum states on an optical beam splitter network. Then, we distribute one of the entangled states through noisy channels. The quantum steering of the bipartite and tripartite Gaussian biased entangled states is analyzed theoretically by reconstructing their covariance matrixes, respectively. The results show that, compared with Gaussian unbiased entangled states, the quantum steering regions of biased entangled states are more sensitive to channel noise. And the quantum steering direction of biased entangled states is easier to reverse by changing the amplitude of channel noise. This paper provides a reference for realizing quantum information processing based on quantum steering of biased Gaussian entangled states.