Gross mortgage lending in August came in at an estimated £13.4bn, up from £12.6bn in July and £12.1bn in August 2010, the CML said.
"Activity levels ... continue to be subdued but broadly stable," said CML chief economist Bob Pannell. "The August performance more or less offset the weaker-than-expected July figure. Taking July and August together, lending has shown little change on the same months of 2009 and 2010."
Separate Bank of England data has shown mortgage approvals running at around half the level of before the financial crisis for the past couple of years.