HONG KONG — The Japanese economy minister, Akira Amari, a high-profile supporter of Prime Minister Shinzo Abe’s policies on trade and the economy, is fighting potentially damaging accusations that he received funds from a construction company in return for political favors.

“I haven’t broken any laws,” Mr. Amari said at a news conference on Friday, in comments reported by the Japanese news media.

He had earlier said that he had only “vague” memories of his dealings with the construction company, which, according to a Japanese magazine, gave him and his aides cash and gifts totaling 12 million yen, or about $100,000.

The funds were never reported in mandatory records on campaign financing, said the magazine, Shukan Bunshun.