An apparatus comprises processing circuitry to perform data processing in response to instructions fetched from an instruction cache, an instruction prefetcher to speculatively prefetch instructions into the instruction cache, and a branch predictor having at least one branch prediction structure to store branch prediction data for predicting at least one branch property of an instruction fetched for processing by the processing circuitry. On prefetching of a given instruction into the instruction cache by the instruction prefetcher, the branch predictor is configured to perform a prefetch-triggered update of the branch prediction data based on information derived from the given instruction prefetched by the instruction prefetcher. This can help to improve performance, especially for workloads with a high branch density and large branch re-reference interval.