The attack happened in the Culbane Road area of Portglenone in the early hours of this morning, Friday 21 March.
At approximately 2.25 am, police received a report that the outside porch of the property had been set alight by the device.
Four people in the house at the time escaped uninjured.
Anyone with any information about this incident is asked to contact Magherafelt Police Station on 0845 600 8000.
Or if someone would prefer to provide information without giving their details, they can contact the independent charity Crimestoppers and speak to them anonymously on 0800 555 111 .