Process the tree limbs through a chipper to reduce the size of the wood pieces. An ideal size is about 1/4 inch in diameter. This helps the wood break up and decompose faster. If you don't have access to a chipper, you can chop the branches into smaller pieces with an axe and snap twigs into tiny segments with gloved hands.
Spread the wood chips in a layer on your compost pile along with other carbon-rich materials, such as leaves and old newspapers.
Alternate carbon and nitrogen layers in your compost pile. This means that you should have a nitrogen-rich layer both above and below the layer of carbon-rich wood chips. Items such as grass clippings, manure and kitchen scraps are all high in nitrogen.