A Nebraska Humane Society worker rescued the squirrels from a pine tree in Omaha last week.
Nebraska Wildlife Rehab executive director Laura Stastny told the Omaha World-Herald that the sap-covered tails became knotted as the youngsters wrestled in their nest.
Stastny says they are about 8 weeks old.
Resident Craig Luttman spotted the rodents' predicament, describing it Thursday as "kind of like a tug of war, going in completely opposite directions."
Stastny gave the squirrels a mild painkiller before removing the sticky fur and untangling them. She says some of them suffered injuries to their tails, but that she expects all six to be released in a few weeks.