A year after railing about the high tax burden on wealthy New Yorkers, Rush Limbaugh, the conservative radio talk-show host, is severing one more tie with New York, selling his lushly decorated Fifth Avenue penthouse to an undisclosed buyer.

Mr. Limbaugh's 10-room condominium, which features a 30-foot-wide living room with fireplace and four terraces overlooking Central Park at East 86th Street, went into contract Thursday for a bit under the final $12.95 million asking price, brokers said.

One...