"Running Up That Hill", on some releases titled "Running Up That Hill (A Deal with God)", is a song by the English singer and songwriter Kate Bush. It was released in the United Kingdom as the lead single from Bush's fifth studio album Hounds of Love on 5 August 1985 by EMI Records.[6]

The single was a critical and commercial success in 1985. It peaked at number three on the UK Singles Chart, Bush's highest chart position since her number one single "Wuthering Heights" in 1978. The song has had two further periods of success: in 2012 it reached number six on the UK Singles Chart after a remix with re-recorded vocals was used during that year's Summer Olympics closing ceremony, and in 2022 it reached number one in eight countries, including the UK, after being featured in the fourth season of the Netflix series Stranger Things.[7][8] The song is Bush's only US top 40 hit, reaching number 30 on the Billboard Hot 100 chart in 1985 and number three in 2022.[9]

The lyrics imagine a scenario in which a man and a woman make "a deal with God" to exchange places. Bush wrote and produced "Running Up That Hill" using a Fairlight CMI synthesiser and a LinnDrum drum machine.

The music video for the single is Bush performing an interpretive dance with dancer Misha Hervieu. Bush first performed the song live in 1987 at the Secret Policeman's Third Ball, accompanied by Pink Floyd guitarist David Gilmour; she did not perform it again until her 2014 Before the Dawn concerts. The single's original cover art shows Bush drawing an arrow.