The man was arrested by a Secret Service member near the south entrance to the executive resident, according to the report.
It is not unheard of for intruders to scale the White House perimeter fence, and those that do are usually caught quickly and handed over to local police.
Construction of the new 11-foot-7-inch fence, compared with the current 7-foot (2.13 m) barrier, is due to begin by next year, the Secret Service said in January. At a Saturday lunch, the president thanked the Secret Service.
The officer also states Tran, dressed in a hooded sweatshirt of jacket, told him, "I am a friend of the president".
Security footage shows Tran jumping a fence near the Treasury Building, which adjoins the White House, the complaint says.
Brian said his brother had been "living in his auto and eating junk food" and additionally said he had been "a very good brother to me".
Tran at one point can be seen hiding 'behind a White House pillar before proceeding to the South Portico Entrance, ' according to the document.
Another man wearing an American flag jumped the fence in November 2015.
President Donald Trump, who was in the White House at the time, was not in any danger from the security breach, which occurred around midnight, the cable television network reported.
The backpack was found to be free of any hazardous materials.
The security level was reportedly raised and Mr Trump was informed.
"So the Secret Service has to really take a very hard look very quickly as to why weren't other defense measures alerted", Wackrow said.