But none of the four state-owned lenders have touched their deposit rates in the last two months.
MB and Techcombank, two large private banks, increased their rates by 0.1-0.7 percentage points in the past month, mainly for short-term deposits.
The biggest hike was by ABBank, which increased interest on 12-month deposits by 1.7 percentage points to 5.4%.
More banks are now offering above 5% compared to April.
The highest rate for 12 months is 5.6% at BVBank, ABBank and BacABank.
The rate hikes are meant to lure investors away from other asset classes, particularly gold, according to analysts.
This year the precious metal has fetched a return of over 22%, while a 12-month deposit only yields around 1.5%.
As of the end of May credit growth was 2.4%, much below the full-year target of 14%, according to government data.