WASHINGTON — Speaker John A. Boehner announced Wednesday that he would introduce legislation next month allowing the House to sue President Obama over his use of executive actions.

In a letter to lawmakers, Mr. Boehner expressed concern with what he — and many in the Republican conference — considered the president’s unconstitutional overreach.

“The Constitution makes it clear that a president’s job is to faithfully execute the laws; in my view, the president has not faithfully executed the laws,” Mr. Boehner told reporters. “And when there’s conflicts like this between the legislative branch and the administrative branch it’s, in my view, our responsibility to stand up for this institution in which we serve.”

Representative Nancy Pelosi of California, the Democratic leader, called Mr. Boehner’s move “subterfuge,” and Josh Earnest, the White House press secretary, said that “it seems that Republicans have shifted their opposition into a higher gear.”