I know where the jacking points are on my 2010 fit sport. But once you get it jacked I can t see any place that looks strong enough to put a jack stand as well. Where is a safe spot to put a jack stand that wont damage the body?

 

I use the rear axle in the back and the wish bones on the front.

 

Use the jack on the front/rear centre jacking points, then put the jack stands on the side jacking points. This is what I do.

 

This, if your jack will reach.
This if your jack won't reach.

 

If I'm going to be doing a bunch of work or having the Fit on stands for an extended period I use the jack points on the side sills, with a couple layers of cardboard (folded up cereal box) between my stands and the sill for protection. I wouldn't worry about damaging the jack points unless you drop your car down hard on your stands. Do it smoothly/gently and it will be fine.

My jack isn't very long so I can't reach the front jack point with my car on the ground. Here's what I do.
1) Drive onto my ramps (or some 2x4s).
2) Use the rear jack point (which I can reach) to raise the back end up and place stands on the rear jack points.
3) Use now accessible front jack point to raise the front a couple more inches, remove the ramps, and place stands at the front jack points.
4) Reverse the process when finished.
I think this is the most stable and safest approach and as a side benefit provides the most room for working under the car.

I have also used the rear axle beam (stable) and once tried the front suspension wishbones as someone else suggested. I didn't feel like the front suspension placement was as stable so I wouldn't use that for any length of time or if I was going under the car.

Regardless of where you put your jack stands, give the car a shove and shake before going underneath, preferably before you remove the wheels if that's going to happen. It will suck if it comes off the stands when you push it, but not as much as if you are under the car when it happens.

 

I've lifted the rear of a Fit by placing a floor jack under the rear tow hook. Then, lower the car onto your rear jack stands. For the front, you really need to reach the front center jack point.

 

Note that there is a recommended rear jack point, and the shipping tie down (I assume that's what you mean by "rear tow hook") isn't it. While I doubt that you will cause any damage due to the light weight of the Fit, the tie down is well off of the center line of the vehicle so you will impart unnecessary torsional stress on the body if you take this approach.

 

I must have been thinking of my GD (2008), which had a tow hook (or tie down, if you prefer) in the center of the rear. My GE (2013) has no rear hook of any kind. I never had any trouble using the GD's hook as a jack point, but, obviously, it is not the correct way to do things.