1. A method of obtaining a soft tissue filler composition comprising the following steps:! obtaining a component of HA (hyaluronic acid) cross-linked with at least one cross-linking agent selected from the group consisting of 1,4-butanediol diglycidyl ether (BDE), 1,4-bis (2,3-epoxypropoxy) butane, 1,4-bisglycidyloxybutane, 1,2-bis (2,3-epoxypropoxy) ethylene, 1- (2,3-epoxypropyl) -2,3-epoxycyclohexane, 1,4-butanediol diglycidyl ether or combinations thereof; ! adjusting the pH of said HA component to a pH of greater than about 7.2; and! adding a solution containing at least one analgesic agent to said HA component having said adjusted pH to obtain a HA-based soft tissue filler composition. ! 2. The method of claim 1, wherein said adjusted pH is greater than about 7.5. ! 3. The method of claim 1, wherein said at least one analgesic agent is lidocaine. ! 4. The method according to claim 1, where at the specified stage of obtaining the HA component, the stages of obtaining dry non-crosslinked NaHC substance and hydration of the specified dry non-crosslinked NaHK substance in an alkaline solution to produce an alkaline non-crosslinked NaHC gel are carried out. ! 5. The method according to claim 4, wherein said alkaline, non-crosslinked NaHC gel has a pH of greater than about 8.0. ! 6. The method according to claim 4, wherein said alkaline non-crosslinked NaHC gel has a pH of greater than about 10.! 7. The method according to claim 1, where the component of the HA contains more than approximately 10% not cross-linked HA. ! 8. The method according to claim 1, where the component of the HA contains at least about 20% not crosslinked p1. Способ получения композиции наполнителя мягких тканей, включающий следующие стадии: ! получение компонента ГК (гиалуроновой кислоты), перекрестно-сшитого с помощью по меньшей мере одного перекрестно-сшивающего агента, выбранного из группы, состоящей из 1,4-бутандиолдиглицидильного эфира (БДДЭ), 1,4-бис(2,3-эпоксипропокси)бутана, 1,4-бисгл