The move may trigger a fresh round of rate cuts by other banks as well.
"HDFC Bank has decided to lower its base rate, or the minimum rate of lending, to the lowest level in the industry, to 9.35 per cent from the existing 9.70 per cent. The new rates will be effective tomorrow," a source told PTI.
Currently, the base rate stands same at 9.7 per cent for the country's three largest lenders -- State Bank of India, ICICI Bank and HDFC Bank.
Rajan has also linked better monetary policy transmission or banks cutting their lending rates to any future rate reduction by the central bank.
"The central bank will look for more room to ease policy rate pending fuller transmission of rate cuts by banks as they have cut only 0.30 per cent at the median level as against the RBI's cut of 0.75 per cent," Rajan had said.