Disclosed are techniques for downloading of filtering rules onto a mobile device. The described technique includes determining, from among at least two lists of filtering rules intended for downloading onto a mobile device, a priority sublist with a high indicator of frequency of actuation of the filtering rules from the list. The priority list is downloaded onto the mobile device. Each of the remaining non-downloaded lists of filtering rules is broken up into parts of a certain size, and a set of groups of filtering rules is formed, in each of whose groups is placed not more than one part of each remaining non-downloaded list of filtering rules. The groups of filtering rules are downloaded onto the mobile device with a certain interval of time until said formed set of groups is fully downloaded.