Since 2012, more than 3,000 of those had resulted in head injuries.
According to the government agency's claim data, there were 3,382 in 2012, 3,221 in 2013 and 3,387 in 2014.
Those amounted to a combined bill of more than $8 million.
"The most recent information ... identifies home steps or stairs as the location which accounts for the highest number of claims," she said.
"Almost double other rooms and locations in or around the home."
The bathroom is the second most injurious room followed by the bedroom and then lounge.
"We suspect that one of the reasons we're so prone to injuries, such as falls, in the home is because the home is where we naturally feel safe and secure, and we 'let down' our guard a little.
"Also, we don't tend to have formal 'health and safety' practices in place in our homes, as most of us do in our workplaces."
The spokeswoman said falls often resulted from ladders, slipping over on spills or water on bathroom and kitchen floors, tripping over electrical cords, slipping on loose rugs or mats, tripping over toys and clutter left in walkways, slips on mossy paths and decks, and tripping over in the dark.
Home head injuries
• 2012: 3,382 cases | $2,927,597 in claims
• 2013: 3,221 cases | $2,920,792 in claims
• 2014: 3,387 cases | $2,325,804 in claims