The our motivation for this study is to define two new and particular sequences. The most essential feature of these sequences is that they are spinor sequences, spinors are used a lot in physics. In this study, these new spinor sequences obtained using spinor representations of Pell and Pell-Lucas quaternions are expressed. Moreover, some formulas such that Binet formulas, Cassini formulas and generating functions of these spinor sequences, which are called as Pell and Pell-Lucas spinor sequences. Then, the some relationships between Pell and Pell-Lucas spinor sequences are obtained. Therefore, an easier and more interesting representation of Pell and Pell-Lucas quaternions, which are a generalization of Pell and Pell-Lucas number sequences, are obtained. We believe that these new spinor sequences will be useful and advantageable in many branches of science, such as geometry, algebra and physics.