It was not immediately clear how long the construction pause would last.
Federal agents were attempting to apprehend the 34-year-old man near Arivaca, Arizona, when he shot at a Border Patrol helicopter and at agents, the FBI said.
San Clemente is allowing Border Patrol to install a surveillance system to monitor the coast. Officials say the camera will be on the lookout for panga boats and will help crack down on illegal immigration.
The Trump administration is adding another militarized zone to the southern U.S. border to support border security operations - this time in California.
A woman accused of leading law enforcement on a chase all the way from Simi Valley to the U.S.-Mexico border has returned to the U.S. and turned herself in.
A woman led law enforcement on a chase from Ventura County all the way to the U.S.-Mexico border and then crossed into Mexico, officials said.