Ms. Gabbard and her campaign are seeking an injunction against Google from further meddling in the election and damages of at least $50 million.

Google has automated systems that flag unusual activity on advertiser accounts — including large spending changes — to prevent fraud, said Jose Castaneda, a spokesman for the company.

“In this case, our system triggered a suspension and the account was reinstated shortly thereafter,” he said. “We are proud to offer ad products that help campaigns connect directly with voters, and we do so without bias toward any party or political ideology.”

No other campaigns have publicly claimed that Google has suspended their advertising accounts.

Interest in Ms. Gabbard, who has served four terms in the House and is an Army National Guard veteran, spiked after the debate. She entered the presidential race as a relative unknown and is still polling at less than 1 percent, according to New York Times polling averages.

But her appeal has crossed traditional party lines. She has drawn support from both the right and the left because of a staunch antiwar message. She has also received favorable coverage from influential conservative news media like Drudge Report, Fox News and Breitbart.

Ms. Gabbard’s campaign is historic even in a race with many potential firsts. She was elected to the Hawaii House of Representatives when she was 21, becoming the youngest woman to join a United States state legislature. When she was elected as representative for Hawaii in 2012, she was the first Samoan-American and first Hindu member of Congress.