I finished installing my new crankset today, but despite that fact it moves just fine, it doesn't seem to spin as freely as my other crankset. With the new one if I give it one hard push with my hands it will only turn half a revolution, with the other it would turn a couple of revolutions. I thinking this could have been a problem from when I greased it. There was already some factory grease on the bottom bracket, but I wasn't sure if it was enough so I added a thin coat of park tools grease around the crank axle on top of that. The factory grease seemed very jelly-like. This grease seemed more vicious.

Is there a special grease that you should use?

This has nothing to do with the grease you used. It's more about whether you installed it correctly e.g. torque values used. If you did install it correctly then use it for a while and see if it spins better later on. It might be that it's new and the bearings have to been used yet.

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Greasing the crank axle isn't going to affect how it spins. The bottom bracket uses sealed bearings, which come pre-packed with grease, and that's whats doing the rolling. What type of bottom bracket is it? Likely, its just seal drag, which will decrease with some use. If you have a shimano-type crank where you can adjust the preload, the preload might be too high. If its a sram crankset/bb, those seals are tight, and take a bit to wear in.

Brand new 6700 Ultegra BB, used SRM Dura Ace 7800 crankset.

I will ride it for a for a 100 miles and see what happens.

ill bet a 100 bucks that when you grease the bearing you will get even less revolutions !!(-:
also worth mentioning, make sure the bottom bracket is machined
but it also very well possible ur new cranckset has different seals there for more or less drag...
i woulndt worry to much about it

Hi.. When I put sticky grease on the side of sealed bearings it will affect the spinning. It doesn't hurt anything because eventually the grease will find out a place to settle after riding and the crank will spin well again. Putting on the spindle for the bearing race shouldn't affect it.
I think things will settle down after a while, however it's not a good idea to mix the grease because you don't know how they will react to each other. You either clean all the factory stuff and replace with your own favorite.

The only time this is a problem is with headset bearings, if you coat it with too much grease then it's a slushy to turn and you won't be able to get a sense to set the preload.