Wait until late winter to early summer to prune the Arctic blue willow shrub.
Look for any dead branches or stems and remove them by pruning them off at the area where they emerge from another branch or from the trunk. Use a pruning saw to make the cuts.
Peer closely at the branches to identify bark damage caused by branches rubbing against each other. Cut off all branches that rub by tracing them back to the trunk and cutting them using a pruning saw. Make cuts 1/4 inch above the collar, which is the raised portion at the base of the branch.
Examine the very top of the Arctic blue willow, if it is a weeping variety with limbs that hang downward. Locate any vertical growing branches that emerge from the top of the trunk and prune them off at the trunk top using loppers or a pruning saw. These limbs are from the rootstock, which is a different tree variety from the Arctic blue willow branches.
Trim 1/2 to 1 inch off of the tips of all of the branches using pruning shears to neaten the appearance of the shrub. If the Arctic blue willow is young, the shape will be an oval; if it is older, the shape is more rounded.