In the framework of a program for the monitoring of supernovae in the near-infrared (NIR) carried out by the Teramo, Rome, and Pulkovo observatories with the AZT-24 telescope, we observed the supernova SN 2006jc in the J, H, and K photometric bands during a period of 7 months, starting ~36 days after its discovery. Our observations evidence a NIR rebrightening, peaking ~70 days after discovery, along with a reddening of (H-K) and (J-H) colors until 120 days after discovery. After that date, (J-H) seems to evolve toward bluer colors. Our data, complemented with IR and optical observations found in the literature, show that the rebrightening is produced by hot, newly formed dust surrounding the supernova.