New rules which make it easier for customers to change current accounts resulted in a four per cent increase to 1.1m switches, compared to 1.06m during in same period a year earlier.
The rules, introduced in October 2013, allow customers to switch accounts within seven working days, with all outgoing and incoming payments transferred automatically.
Barclays was the worst hit with total outflows at 98,000, followed by HSBC which suffered 71,040, Lloyds Bank with 45,119 and NatWest with 44,953.
"We continue to open more current accounts each month than we close. Today's figures illustrate how important it is to continue to evolve our products and services for our customers," a Barclays spokesperson said.