President Trump invoked in his proclamation calling for National Guard troops, governors retain command and control over their state's Guard members.
Trump's call for sending troops to the border came after he was heavily criticized by his supporters for passing a federal budget that only allocated $1.6 billion for border security.
Gov. Doug Ducey addressed part of the force at Papago Park Military Reservation.
Arizona Governor Doug Ducey plans to send 338 troops to the border. An additional 113 will travel to the border on Tuesday. Trump said in a memorandum Wednesday that there is a "drastic surge of illegal activity on the southern border", threatening national security.
The images shared by the Texas Military Department which includes Guard branches showed members dressed in military fatigues shaking hands with US border agents. On Monday, Abbott told San Antonio radio station KTSA that Texas will significantly ramp up its commitment to President Trump's call over the next several weeks.
His office says guard members will provide air, reconnaissance, operational and logistical support to border patrol agents. He added that he wanted to "downplay any notion" that "our National Guard is showing up with military bayonets trying to take on anybody that's coming across the border, because that is not their role".
There is not a end date for the deployment, Abbott talked about: "We may be on this for the prolonged haul".
"This is a step up from the militarization, something we just absolutely don't need", said Pedros Rios. "You current me any one who's for drug cartels or human trafficking or this ammunition that's coming over a wide-open and unprotected border proper right here".
Trump had said on Thursday that the final deployment would range from 2,000 to 4,000 troops, and he would "probably" keep many personnel on the border until his promised border wall is built.
On Friday, Defense Secretary Jim Mattis signed a memo that authorized the federal government to pay for the potential deployment of up to 4,000 National Guard troops for the border mission through September.