Which class of drugs are barbiturates? Barbiturates belong on the sedative-hypnotic drug class. Sedative hypnotics are drugs used to induce and/or sustain sleep.Phenobarbital: Phenobarbitone has intensive use as an antiepileptic drug in the neonatal and pediatric populace. It is the most cost-effective drug cure for epilepsy in Grownups in lower-s