The key to jumping rope well is to successfully coordinate your jump speed with the speed of the rope. If one is faster than the other, the rope will eventually get tripped up. Something that is easy to overlook, is the need to continue to turn the rope once you get it going.
I often see beginning jumpers establish a consistent jump rhythm, but try to pair it with a "casual" rope turn. This isn't going to work for long. If you want to keep the rope going, you need to be "deliberate" with the turn of the rope.
Make sure you are in control of the exercise by adding a little bit of speed to the rope with each turn. Take a look at the video below for more.