Reaction to the plan was mixed, both among “NewsHour” staff members and viewers on social media Web sites. Many expressed sadness about the layoffs and concern about the quality of news coverage, while others suggested the “NewsHour” producers were right to trim excess spending.

Earlier this year, public television employees who were not authorized to speak publicly told The New York Times that the production company was facing a shortfall of up to $7 million, a quarter of its $28 million overall budget, in the fiscal year that ends this month. The company’s budget outlook for the next fiscal year is unknown. But a spokeswoman for the “NewsHour” acknowledged that the reorganization, which will take place over several months starting in July, would help balance the budget.

The spokeswoman said that about 10 employees, of 100 in all, would be affected.

Ms. Winslow and Mr. Jones said in their memo that the cuts were a result of, among other things, “a steady drop in corporate revenue.”

The shuttering of the offices in Denver and San Francisco will end an era for the “NewsHour,” which long ago also had offices in New York, Chicago, Los Angeles and elsewhere. To make up for the loss of reporting staff outside the Washington area, “along with sending our own teams in the field, we anticipate building new relationships with a variety of locally based freelance video journalists around the country,” Ms. Winslow and Mr. Jones wrote. “Under no circumstances do we intend to abandon the minidocumentary reports that have become so critical to our broadcast. The ‘NewsHour’ remains committed to delivering the same kind of in-depth reporting our viewers and supporters expect from us.”