Tobgay (), also spelled Tobgye, Topgye, or Topgay, is a Tibetan name. People who have this name as one of their given names include:
Polhané Sönam Topgyé (1689–1747), Tibetan prince Kencho Tobgay (born 1991), Bhutanese footballer Sonam Tobgay (born 1990), Bhutanese cricketer and footballer Sonam Tobgye (born 1949), Bhutanese jurist Tshering Tobgay (born 1965), Bhutanese prime minister Sonam Topgay Dorji (1896–1953), Bhutanese politician