Compared with when the Kraut et al. (1998) issued an Internet Paradox first paper, Internet environment has changed significantly. Recently, the spread of the social media based on social relations, it may have a significant impact on social relationships in the real. However, in some case, using the social media feel a burden on the relationship, called "social media TUKARE". Thus this paper aims to investigate the Social Media Paradox that the negative effects of using the social media in psychological well-being and friendship. In this paper, by using the data of the panel survey, conducted between 2011-2012 on Internet, I analyzed the possibility of Social Media Paradox. The results show that for new social media users, heavily posts has had a positive impact on friendship satisfaction temporarily. However for all samples, heavily social media use has had negative effects, loneliness and friendship unsatisfacted. In conclusion, the heavily use of the social media based on social relationships has had negative effects on psychological well-being and friendship, called Social Media Paradox.