Two men have carried out a daring bank robbery at a Bendigo Bank branch in Sydney's CBD during lunch.

The men were wearing hooded jumpers when they walked up to the counter of the bank in Elizabeth Street about 12.20pm on Wednesday and told the cashier to hand over cash.

Bendigo Bank on Elizabeth Street. Credit:Joosep Martinson

Police said the cashier complied and gave the thieves "an amount of cash", before the two men ran out of the bank on to Elizabeth Street.