Robert White tried to make his pet cat Salem inhale drugs on 16 May, before he stubbed it out on the animal.
Birmingham Magistrates' Court heard the kitten suffered third-degree burns to 80% of its face, and after being taken to the vets he was put to sleep to prevent further suffering.
White, 38, of Rogerfield Road in Birmingham, was handed a four-month sentence suspended for 18 months.
He was also banned from owning pets for life, ordered to pay Â£350 costs and a Â£150 victim surcharge and will be made to attend a drug and alcohol rehabilitation course.
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RSPCA inspector Beth Boyd said the case was "one of the worst" she had investigated.
"I can't even think about what Salem must have gone through that night - he would have been in severe pain, as well as being very frightened," she said.
"At least now some justice has been done for him."
A kitten died after a man stubbed a joint out in its face, a court heard.