WASHINGTON — President Trump laid out for the special counsel his defense in the investigation into possible ties between his associates and Russia’s election interference, the president’s lawyers said in a statement on Tuesday.

The details of Mr. Trump’s responses were not immediately clear, but his lawyers said that now that he had handed over answers to questions from the special counsel, Robert S. Mueller III, the time had come to end the investigation.

“The special counsel has been provided with more than 30 witnesses, 1.4 million pages of material, and now the president’s written responses to questions,” said one of the lawyers, Rudolph W. Giuliani, who issued a statement with another of the president’s personal lawyers, Jay A. Sekulow. “It is time to bring this inquiry to a conclusion.”

After months of negotiations about a possible presidential interview, Mr. Mueller allowed Mr. Trump to respond in writing to questions about whether any of his associates conspired with Moscow’s campaign of disruption. Mr. Mueller has declined to rule out trying to compel Mr. Trump to sit for an interview after reviewing his written answers.