This paper covers nineteen Pt(II) complexes of the composition Pt(η3-X1X2X3)(PR3), (X = N1, N2, N3; S1, S2, S3; or Te1, Te2, Te3). These complexes crystallized in three crystal classes: triclinic (eleven examples), monoclinic (six examples), and orthorhombic (two examples). Each tridentate ligand creates two metallocyclic rings with common N2, S2, or Te2 donor ligands of the types N1C2N2C2N3, N1C2N2NC2N3, S1C2S2C2S3, S1C3S2C3S3, and Te1CNTe2NCTe3. The homotridentate ligand with monodentate PR3 ligand builds up a distorted square planar geometry about Pt(II) atoms. The degree of distortion ranges from 0.029 to 0.092, and the reason for the distortion is discussed. There is an example that contains two crystallographically independent molecules within the same crystal. This is a classic example of distortion isomerism.