Cerebellar peduncles superior cerebellar peduncle (brachium conjunctivum)connects with midbrain,contain mostly efferent fibers middle cerebellar peduncle (brachium pontis)connects with pons. contain afferent fibers inferior cerebellar peduncle(restiform body)connects with medulla and with spinal cord,contain both afferent and efferent fibersCerebellar peduncles inferior cerebellar peduncle (restiform body) connects with medulla and with spinal cord, contain both afferent and efferent fibers middle cerebellar peduncle (brachium pontis) connects with pons, contain afferent fibers superior cerebellar peduncle (brachium conjunctivum) connects with midbrain, contain mostly efferent fibers