Plasma enhanced chemical vapour deposition (PECVD) has been widely discussed in the literature for the growth of carbon nanotubes (CNTs) and carbon nanofibres (CNFs) in recent years. Advantages claimed include lower growth temperatures relative to thermal CVD and the ability to grow individual, free-standing, vertical CNFs instead of tower-like structures or ensembles. This paper reviews the current status of the technology including equipment, plasma chemistry, diagnostics and modelling, and mechanisms. Recent accomplishments include PECVD of single-walled CNTs and growth at low temperatures for handling delicate substrates such as glass.