abstract: Spherical, Hecke or Iwahori-Hecke algebras associated to a reductive group over a local field are well known and have a lot of applications in representation theory. Braverman, Kazhdan (and others) have extended their construction to the case of affine Kac-Moody groups. In the talk, we will construct these algebras for any Kac-Moody group over a local field using the hovel (an adapted version of the Bruhat-Tits building). This is a joint work with Nicole Bardy-Panse and Guy Rousseau.