Strigolactones are an ancient and major class of endogenous plant growth regulators. Although only recently identified, rapid progress has been made in understanding strigolactone biology, including the identification of a signalling pathway involving DWARF14 α/β-fold proteins, the SCF(MAX2) ubiquitin ligase and SMAX1-LIKE (SMXL) family of chaperonin-like proteins. Several rapid effects of strigolactone signalling have also been identified, including endocytosis of the PIN-FORMED1 (PIN1) auxin efflux carrier and transcript accumulation of the BRANCHED1 (BRC1) transcription factor. Here we assess our current knowledge of strigolactone signalling, and discuss how increased understanding of the cell biology of the system can help to resolve some of the current uncertainties in the field.