Deutsche Bank AG has been asked by U.S. government authorities to hand over information about transactions that could be linked to former national security adviser Michael Flynn or entities connected to him, according to people familiar with the matter.

The information was requested as part of U.S. Special Counsel Robert Mueller’s probe into Russia’s meddling in the 2016 U.S. presidential election, the people said. The Wall Street Journal reported Thursday that Deutsche Bank has received several subpoenas in the investigation, and the German lender is continuing to provide information to authorities, according to people familiar with the matter.

Mr. Flynn pleaded guilty this month to lying to the Federal Bureau of Investigation about Russian contacts and is cooperating with Mr. Mueller’s probe.

A lawyer for Mr. Flynn declined to comment. A Deutsche Bank spokesman said that the bank “takes its legal obligations seriously and remains committed to cooperating with authorized investigations into this matter.”

Mr. Flynn resigned in February for failing to disclose conversations with a Russian ambassador. Mr. Mueller has been investigating whether he improperly concealed financial ties to Turkey and to Russia, the Journal has reported, citing people familiar with the matter.

Deutsche Bank’s receipt of a subpoena in Mr. Mueller’s investigation was reported last week by several media outlets including the Journal. The Journal reported that the special counsel sought documents and data related to people or entities affiliated with the president.

Jay Sekulow, a spokesman for Mr. Trump’s legal team, said, “Deutsche Bank hasn’t received subpoenas on the president, the president’s businesses or the president’s family.”

Mr. Mueller’s probe is concerned in part with cash flows tied to Russia and people in Mr. Trump’s orbit. Moscow has denied meddling in the election, and Mr. Trump has called the special counsel’s investigation a “witch hunt.”

Deutsche Bank’s role as a correspondent bank has come into focus in the investigation, the people familiar with the matter say. Correspondent banks serve as middlemen in international transactions, facilitating transfers for other banks into countries where they have limited or no operations.

The Journal reported Thursday that Wells Fargo & Co. has received at least one subpoena related to Mr. Mueller’s investigation, according to a person familiar with the matter who said the bank is in the process of providing information to the government. A Wells Fargo spokeswoman declined to comment.

—Emily Glazer contributed to this article.