The number of new cars sold on finance fell by 3% year-on-year in January, to 51,932, according to figures from the Finance & Leasing Association (FLA).
January was also the first time new car sales dropped in four years, according to the Society of Motor Manufacturers and Traders.
Despite the dip in sales volume, the value of the finance sold for new cars increased: it grew 3% year-on-year to £821m.
For the 12 months to January, FLA member penetration reached 76.2%, which the FLA said was a new high.
The news was slightly better in the used car sector, were the number of cars bought on finance increased 3% year-on-year to 92,813 in January. In the same period, the value of advances increased 7% to £944m.
Geraldine Kilkelly, head of research and chief economist at the FLA, said: "Consumer new car finance volumes over the last twelve months grew at a faster rate than private new car sales, and so we saw a new record high for the market share of dealer car finance.
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By GlobalData"Despite the quiet start to 2015, we expect the consumer car finance market to grow in 2015 as a whole."