Stephen Cooper or Steve Cooper is the name of:

• Stephen Cooper (American football) (born 1979), San Diego Chargers linebacker
• Steve Cooper (footballer, born 1955), English footballer
• Steve Cooper (footballer, born 1964) (1964–2004), English footballer
• Steve Cooper (football manager), Welsh football manager and former player
• Stephen Cooper (writer), American academic, biographer and fiction writer
• Stephen Cooper (ice hockey) (born 1966), British ice hockey player
• Stephen Cooper (businessman), CEO of Warner Music Group
• Stephen Cooper (athlete), paralympic athlete from Great Britain