Isekai Monster Breeder is a Manga/Manhwa/Manhua in english language, Ecchi series, english chapters have been translated and you can read them here. You are reading chapters on www.mgeko.cc fastest updating comic site. The Summary is

When sent to a different world, Souta was given the unpopular profession of "Monster Tamer." However, Souta also got the skill "Absolute Domination" which gives him a 100% chance to capture anything