Rui is a Portuguese first name, also spelled Ruy. It has the same origin as Roderick and Rodrick. People with the given name Rui include:
Rui Almeida Monteiro (born 1977), Dutch footballer
Rui Barbosa (1849–1923), Brazilian diplomat, writer, jurist, and politician
Rui Campos (1922–2002), Brazilian footballer
Rui Correia (born 1967), Portuguese football goalkeeper
Rui Costa (born 1972), Portuguese football midfielder
Rui de Figueiredo (1929–2013), professor, engineer and mathematician
Rui de Pina (1440–1521), Portuguese chronicler
Rui Falcão, Brazilian politician
Rui Faria (born 1979), Portuguese football coach
Rui Jorge Faria Azevedo (born 1980), Portuguese football goalkeeper
Rui Alberto Faria da Costa (born 1986), Portuguese cyclist
Rui Jordão (born 1952), Portuguese football striker
Rui Jorge (born 1973), Portuguese football back
Rui Machado (born 1984), Portuguese tennis player
Rui Nereu (born 1986), Portuguese football goalkeeper
Rui Patrício (born 1988), Portuguese football goalkeeper
Rui Rio (born 1957), Portuguese politician and Mayor of Porto (Presidente da Câmara Municipal)
