A Yes they do, the Real Madrid kit is made by Adidas and is sponsored by Fly Emirates.
Real Madrid are Spain's most successful football club, and they are also the most successful club in European competitions; having won La Liga thirty two times and the European Cup ten times. Real Madrid and Adidas have had a longterm kit outfitting partnership: from 1980-1985 and 1998-2016, the Real Madrid kit has been made by Adidas. Between 1985-1998, the Real Madrid kit was made by Hummel and Kelme. According to reports in the media - like the Daily Mirror - Real Madrid and Adidas are currently in discussions to renew their outfitting contract. Adidas, apparently, have first refusal written into their current contract with Real Madrid, and are potentially offering the Spanish club £106million a year. This would ellipse Manchester United's £75m deal with Adidas; currently the most lucrative outfitting deal ever signed with a football club. Real Madrid have a worldwide fanbase, and are especially popular in South America and 'Latin' speaking countries. Due to Real Madrid's ability to sign the world's best players - Ronaldo, Zidane, Beckham, Bale - referred to by Madrid as Galácticos, they will always be able to generate huge shirt sales for any outfitter.