The move, by the National Bank of Hungary and the Hungarian Banking Association, is similar to a previous initiative which replaced foreign currency loans with forint loans.
Central bank Deputy Governor Laszlo Windisch said almost all newly-issued loans were at a fixed rate of interest for at least part of the lending period, but new measures were needed to tackle outstanding variable-rate loans.
"There is a risk, which clients either understand, or they do not," Windisch told a banking conference. "Still, the risk (of a change in interest rates) is passed on to the borrower."
"In close co-operation with the Banking Association, we will launch a joint programme in the spring, sending a personalised offer to each client affected," he said, without going into further detail.
Outstanding consumer credit grew by 424 billion forints ($1.49 billion) last year, an annual increase of 7.3 percent from a year earlier, central bank data showed.
Demand for new loans is driven by a general economic upswing, record-low unemployment and a housing boom, which is fuelling demand for mortgages.
Mortgage lending increased by 31 percent year-on-year in 2018, the central bank said, adding that the interest on more than 60 percent of mortgages issued in the fourth quarter was fixed for a period of more than five years.
Hungary's central bank raised its overnight deposit rate by 10 basis points to -0.05 percent last week, halting a nearly seven-year run of monetary easing.
The bank said its next move could be either tightening or loosening, depending on the inflation outlook.