From the results of the statistical study, the genetic relation between some meteors (from −5 m to +5 m ) of the sporadic background and the comets of the Kreutz, Marsden, and Kracht families has been revealed. The radiants of sporadic meteors are concentrated at the geocentric ecliptic latitudes 7°–10° northward and southward of the ecliptic. The radiants of the sungrazing meteoroids, that were detected on their heliocentric orbits “before” and “after” the perihelion passage, are concentrated in the elongation intervals of approximately 120°–165° and 20°–60° from the Sun, respectively. Each of the specified radiant regions, in its turn, breaks up into two groups. The group of radiants with elongations of about 30° and 155° from the Sun belongs to the Marsden and Kracht cometary families, while the group with 50° and 135°, to the Kreutz cometary family. In the distribution by perihelion distance, a sharp decrease of the number of observed dust particles with q < 0.08 AU was found. This corresponds to the heliocentric distances (20–30 R ⊙), where the production of microscopic dust due to sublimation of cometary nuclei, while approaching the Sun, terminates. The number of sporadic sungrazing meteoroids detected after their passage in the vicinity of the Sun is approximately 20 times smaller than the number of similar particles in the preperihelion part of the trajectory. This result is of special importance for studying the thermodesorption effect of meteoroids (i.e., the change in the content of chemical elements in meteoroids as a function of the perihelion distance).