Two teenage boys poured accelerant around a house, set it on fire and threw a table through a window while two people were inside, police allege.
A 64-year-old woman and a 31-year-old man were in the house during the fire but were not injured. The house received minor damage.
NSW police said they had arrested two boys in Goulburn after an investigation into the fire.
At 5.45am on Sunday officers from Hume Police District attended a house in Chisholm Street, Goulburn, following reports of a fire.
The fire was extinguished by Fire and Rescue NSW shortly after police arrived and a crime scene was established.
The two boys, aged 13 and 14, were interviewed by police and arrested at 9.30am on Sunday.
The boys will be dealt with under the Young Offenders Act.
Police alleged the boys poured an accelerant around the home before they started the fire.
Police also alleged the boys threw a table through a window of the house.