While the charges are under seal, a federal official said the man will be charged with violating a federal law against making calls "to annoy, abuse, threaten, or harass any person at the called number or who receives the communications."
The charge carries a maximum two year sentence.
"The calls were so numerous, the decision was made that something had to be done," one official said.
The arrest is the second in two days related to harassment of a Democratic lawmaker who voted for the insurance overhaul legislation. On Tuesday, federal prosecutors charged a Washington state man with repeatedly making threatening calls to Sen. Patty Murray's Seattle office.
In the wake of the bill's passage last month, at least four offices of Democratic lawmakers were vandalized, and some officials were offered increased security as a result of the threats.
Both Republicans and Democrats have been the targets of violent threats. A man who had used a Web video to announce his intention to kill Rep. Eric Cantor, R-Va., was arrested on March 29. Cantor, a top House Republican leader, opposed the health care bill.