The new headquarters are in the £2bn Stratford International Quarter in Olympic Village.
Lesley Titcomb, the FCA’s chief operating officer, said the move represented “good value for money for our fee-payers”.
The FCA’s lease expires in 2018. It has been based in the City since it took over from the Financial Services Authority in 2013. The FSA had been based in Canary Wharf since it began in 2011.