Kon has filed a lawsuit with Dongcheng District People's Court in Beijing where it pointed out that the two logos look practically the same to customers. Kon has been using the merchandise trademark since 2011 and registered in 2012.
According to Xinhua news agency, Kon has further demanded a compensation of $15,200 as well as a public apology.
Neither Apple or Kon had commented on the dispute at the time of writing.
Apple was earlier sued by Tokyo-based Emonster over the use of the word 'Animoji'.