The FPGA IP core T-COR-32 implements the algorithm of automatic tracking of objects in video and calculation of their motion parameters. The core ensures a stable tracking of small-sized and low-contrast objects of any type against a complex background. In case of object loss (tracking collapse), the IP core performs prediction of the tracked object trajectory up to its automatic re-capture or tracking reset if the corresponding criteria are fulfilled. The IP core is a stand-alone module easily integrable into projects based on field-programmable gate arrays (FGPA) and application-specific integrated circuits (ASIC). The core interfaces are universalized for connection to IP cores of other manufacturers.