The family Geminiviridae is one of the largest and most important families of plant viruses. The small, single-stranded DNA genomes of geminiviruses encode 5-7 proteins that redirect host machineries and processes to establish a productive infection. These interactions reprogramme plant cell cycle and transcriptional controls, inhibit cell death pathways, interfere with cell signalling and protein turnover, and suppress defence pathways. This Review describes our current knowledge of how geminiviruses interact with their plant hosts and the functional consequences of these interactions.