Rinse lamb and cut into 1-inch chunks. Put meat in a 5- to 6-quart pan and add hominy, broth, and chilies.
Bring to a boil over high heat, cover, reduce heat, and simmer until meat is very tender when pierced, 1 3/4 to 2 hours. Skim fat from pan and discard. Season stew to taste with salt and pepper; ladle into bowls.