They make overpriced tools that will work:
We have constructed this NMO Antenna installation tool out of stainless steel. This is made from stainless steel and works flawlessly. I believe this is the tool an antenna installer needs for NMO antenna bases.
www.ebay.com
But you don't need one of those. Never seen anyone use one before...
I use a small pair of needle nose pliers. One pair I have has them at a 90º angle. The two tips of the pliers go in the two recessed holes in the center part of the mount. That'll keep the center part from turning.
Then use a wrench to tighten the outer ring.
Make sure you have the silicone lube on the O-ring before doing this or it can bind up and tear. And it doesn't need to be 'white knuckle" tight, just snug is good.