It noted that approvals of loans secured on dwellings for house purchase and remortgaging both fell slightly for the second month, to 66,837 and 42,814 respectively, in March.
The number of mortgage approvals hit a six-month low, said the Bank.
The value of lending secured on dwellings rose by £3.1bn in March, similar to the recent six month average. However, it had been forecasst to rise by more than this.
Borrowers are showing signs of feeling the financial pinch in the wake of the Brexit vote, with consumer borrowing also down.
The Bank of England noted a slowdown in the pace of consumer credit borrowing, which grew by 10.2%, its weakest increase in 10 months.