I don't know about travertine but I would never use a steam mop on hardwood.

There are exactly 0 wood floors that you can clean with a steam mop. I wouldn’t even do natural stone with one. Too porous. Hard impervious surfaces only. No vinyl either.

As others have posted, you can not use a steam mop on any wood surface. You can't even use a MOP on any wood surface as wood floors are best cleaned by keeping them scrupulously swept as grit destroys the surface and then using something like the Bona sprayed lightly on a microfiber "mop" to clean the surface.

Regarding travertine or marble, I do use a steam mop on my marble floors although I am not cleaning them every day and so they only get very little steaming action and my steam mop is not industrial strength anyway. I realize that marble is porous but the amount of "steam" it is subjected to is minimal and seems to be a better choice than a cleaning agent with hot water.

I got a relatively inexpensive Bissel model from amazon and it works pretty well. My steaming needs are minimal since it is only used in two bathrooms which have marble tile.

Before using it on my marble floors I did research and there is conflicting advice but I decided to go with a rule of reason. Given that I was lightly steaming relatively infrequently I am using it and there have been no issues with the floors after about a year of use. The tile installers were here last week for another aspect of my remodel and told me that my floors were fine and the schedule for resealing should be about 18 months.

Bissel Steam Mop

As above. It is *possible the travertine can accept the steam...but it is up the the SEALANT (the company that makes the sealant) to give the OK for that. Find out what the company is using to finish the stone with and then find out if the sealant accepts steam.

NEVER steam clean hardwood! Ever!

Thank you for the advice. I knew y'all would be more knowledgable than the flooring people. The flooring people said that once the travertine is sealed that a steam mop will be safe on them. Any suggestions regarding how to test that claim without damaging the floors?

To test their claim about sealed travertine, get an extra tile and have it sealed. Let it cure for as long as the floor did, then experiment on it to your heart's content.

Porous stone is hard to clean, so be sure to keep up with refreshing the sealer. You probably can use a steamer, but I don't see the point. All you need to do is vacuum often with a soft brush and damp mop with a cloth that has been thoroughly wrung out. Travertine is porous, so water is not its friend. Avoid harsh cleaners like vinegar (or anything acidic), ammonia, chlorine, etc. They will damage the stone and possibly the sealer. Clean spills immediately. When a damp mop isn't enough, use a tiny amount of pH-neutral soap in the water for the damp mop. You'll need to rinse to prevent streaks. (Hard water can cause streaks, too.) To do this, re-mop with a water-only damp mop as many times as it takes to get rid of the soap. Twice will probably be enough if you didn't overdo the soap.

I clean hardwood floors the same way. Works on birch that was over 100 years old, oak that's 67 years old and oak that's 4 year old.

By the way, I tried a "steam mop" when I had slate floors and it was a waste of money. I have a McCullough canister steamer, which is great for slate, ceramic tile and nasty things like ovens. I mainly use it for the oven, because I have more time for consistent, frequent maintenance cleaning now that I'm retired.

As already stated. Steam Mop = ruined wood flooring. Take a look at the Bona cleaning kits available on Amazon. They include a floor tool.