Spectrum　sensing　is　the　most　important　task　in　cognitive　radio　(CR).　In　this　paper,　a　new　robust　distributed　spectrum　sensing　approach,　called　diffusion　maximum　correntropy　criterion　(DMCC)-based　robust　spectrum　sensing,　is　proposed　for　CR　in　the　presence　of　non-Gaussian　noise　or　impulsive　noise.　The　proposed　distributed　scheme,　which　does　not　need　any　central　processing　unit,　is　characterized　by　an　adaptive　diffusion　model.　The　maximum　correntropy　criterion,　which　is　insensitive　to　impulsive　interference,　is　introduced　to　deal　with　the　effect　of　non-Gaussian　noise.　Simulation　results　show　that　the　DMCC-based　spectrum　sensing　algorithm　has　an　excellent　robust　property　with　respect　to　non-Gaussian　noise.　It　is　also　observed　that　the　new　method　displays　a　considerably　better　detection　performance　than　its　predecessor　(i.e.,　diffusion　least　mean　square　(DLMS))　in　impulsive　noise.　Moreover,　the　mean　and　variance　convergence　analysis　of　the　proposed　algorithm　are　also　carried　out.