Emergency services were called to the scene, off Bridge Street in Newcastle Emlyn, at about 12:30 BST on Thursday.
Police, fire and ambulance services were involved in the search.
Dyfed-Powys Police said he has been formally identified by his next of kin and that there are no suspicious circumstances.
The body of a 22-year-old man believed to have fallen into the River Teifi has been found, police have confirmed.