Triquetrella is a moss genus which in Tasmania is represented by 2 species.

T. papillata is a common moss occupying loose mats on rock or earth, often in grassy places or on old dunes. It may even be observed growing near salt marshes.

In dry conditions, the leaves are wrapped around the stem but when under wet conditions, the leaves are widely spreading and are distinctively arranged in three rows around the stem.

T. tasmanicum (previously Anomodon tasmanicus and Triquetrella curvifolia) is a smaller species with hyaline leaf tips and rhizoids anchoring the stems to the substrate.