Lawyers for former President Donald J. Trump asked a judge on Tuesday night to pause a group of civil lawsuits seeking to hold him accountable for the violence at the Capitol on Jan. 6, 2021, until after his federal criminal trial connected to the same events was over.

The request by the lawyers to pause the civil cases was the latest example of Mr. Trump trying to pit his multiple legal matters against one another in an effort to delay them. In the past several weeks, the former president and his lawyers have managed to gum up each of the four criminal cases he is facing, sometimes by persuading judges that the timing of the various proceedings were in conflict with one another.

In their request for a pause in the civil cases, Mr. Trump’s lawyers told Judge Amit P. Mehta, who is overseeing the proceedings, that it would be unfair to the former president to be forced to defend himself against the suits at this point. They said that in so doing, he might reveal his strategy for defending himself against related criminal charges brought against him by the special counsel Jack Smith.

“Given the substantial overlap in factual and legal allegations between these cases and the D.C. criminal case,” the lawyers wrote, there is “a substantial risk that proceeding in this matter now will expose the defense’s theory to the prosecution in advance of trial.”

The lawyers added, “This would prejudice President Trump’s ability to effectively defend himself in both these civil cases and the special counsel criminal matter.”

In the months after Jan. 6, a half-dozen lawsuits were filed against Mr. Trump by members of Congress and police officers who served at the Capitol that day, accusing him of inciting the mob that stormed the building. The lawsuits, which all are being heard in Federal District Court in Washington, have sought unspecified financial damages from Mr. Trump.