Genucius is a name. Notable people with the name include:
Gnaeus Genucius Augurinus (died 396 BC), Roman consular tribune Lucius Genucius Aventinensis, Roman consul Lucius Genucius Aventinensis (consul 303 BC), Roman politician Titus Genucius Augurinus, Roman politician Gaius Genucius Clepsina, Roman politician Lucius Genucius Clepsina, Roman politician