The man and a woman, both 20, were detained after a home on Asket Drive in Seacroft caught fire shortly after 5am this morning.
The man suffered minor burns in the incident.
West Yorkshire Police said:-
"At 5.39am today police were contacted by the fire service who were attending a fire a house in Asket Drive, Seacroft.
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"Officers attended and a 20-year-old man was taken hospital for treatment to minor burns.
"A 20-year-old woman was arrested in connection with the incident and is currently in custody.
"The man was also arrested on suspicion of public order and criminal damage at the hospital and is also in custody."