Plot hole: At the start when the guys are infiltrating that building they parachute down to the roof. They are dressed in black so they can't be seen, but their parachutes are white. (00:02:50)
Continuity mistake: When Agent Gibbs shoots the 3 guards on the airplane, the last one who is shot keeps both the arms lowered. Then, in a next shot he is with the left arm lifted up. (00:20:35)
Continuity mistake: When Agent Gibbs goes into the closed room and hands out the advance team reports from the Miami field agent, when he executes the three agents, if you watch, just after he kills the third agent, the agent's entire arm falls down behind the arm rest below the seat. However, in the following shots, when Gibbs re-holsters and turns to enter the armory, the agent's arm and hand are now risen upward, leaning against the window with his elbow propped up on the arm rest. (00:20:45)
Continuity mistake: In the scene where the President is being escorted to the escape pod, there is an extra shot where the President is hiding on his own around the corner from a terrorist, who is sneaking around in the background looking for him. In both the preceding and following shots, the President is being physically escorted by two Secret Service men who are pulling him along and forcefully holding his head down. This shot is wrongly inserted into this portion of the scene and needs to be later in the film, when the President is trying to escape. (00:23:40)
Continuity mistake: When Harrison Ford is fighting one of the terrorist guys, they go into a room with two chairs. Ford spins a chair to knock down the guy, and they keep fighting. As they go at it we see a knocked over stool with a black seat. Instantly, in the next shot, the stool is standing up, and in a perfect position for Ford to knock the guy out with. (00:44:30)
Plot hole: After the President sabotages the fuel pumps, two of the bad guys go down and manage to repair the damage. They then proceed to go back upstairs and (supposedly) lock the President downstairs... Where he would be free to simply sabotage the fuel pumps again.
Continuity mistake: When Harrison Ford tries to enter the conference room when he comes upstairs from the lower level, he first struggles with the guard to the conference room door. While fumbling with the keys, the guard "wakes up" and shoots 2 shots toward Harrison Ford, where he turns around and shoots back. Those 2 shots from the guard leave bullet holes in the conference room door. When Harrison finally enters the room, the bullet holes disappear. When the bad guys return, the bullet holes are gone.
Factual error: Characters are able to move from the front of the airplane to the back through the lower cargo hold. Their progress would be blocked in the middle of the airplane by a massive area of structure called the wing center section.
Revealing mistake: The whole time during the president's escape from AF1 (the scene where he's fighting with his corrupt agent) you can see through the airplane door that there is a loop in the movement of the water. It moves for about a second, and then stops, etc., etc.
Continuity mistake: In the scene where the real pilots of AF1 are trying to land, you can see people and things flopping around in the plane. Later, the President enters a room that looks so neatly organized and clean that no one would ever know that they had such a roughly attempted landing.
Continuity mistake: At the beginning, when AF1 is landed, and the two pilots and navigator get shot, a Russian guy takes over. AF1 is then driven around the airport. The Russian guy controlling AF1 speeds up to take off again. When he does take off he barely misses a plane that was on the ground. The next shot is from the back of AF1 and the plane that was on the ground has disappeared.
Continuity mistake: In the beginning, it goes from 5 guys with white parachutes to 4 guys with black parachutes, back to 5 guys with white parachutes.
Continuity mistake: In the scene when the Russian is shooting the 3 doors, on the second door, if you look in slow motion, you see 2 muzzle flashes before a hole is made in the door. The same on the 3rd door. Also, when he shoots the 3rd door, he puts 5 bullet holes in it, but when he opens it to check, there are 6 holes in the wall.
Continuity mistake: Defense secretary Walter Dean makes such a big deal out of getting the cabinet to declare the president to be incapacitated, he gets Attorney General Ward to draw up the papers. They are then given to the Vice President to sign, and there are 16 signatures on it, presumably all the members of the cabinet. Funny thing is, the names are pretty easy to read using the zoom feature on the DVD player, and not one of the names is Dean or Ward.