In the NASA footage, an astronaut is seen outside the ISS carrying out maintenance, when a number of objects come into view in the distance.
It appears to be complete darkness before the three bright objects whiz into view.
There have been claims of a cover up, as, although the video was placed online by NASA, it appears to cut and go inside the ISS after the objects appear.
It has been highlighted by YouTube channel SecureTeam10 in a new video.
Tyler Glockner, who runs the channel, said: “You can clearly see that it is flying straight towards the camera, coming in at an angle, before curving and taking a left-hand turn and flying out of sight.”
He slows down the video and then highlights the second and third objects which he claims “are moving in complete unison with the main UFO”.
He added: “This is not a result of blurring or anything like that because when this thing passes and reflects light it holds its shape.
“We have another object directly above it that seems to be attached to it.”
Thousands of people have viewed the video and commented.
One said: “People must be blind not to see the spaceships.”
Another said: “One large UFO aircraft being hunted down and chased after by two smaller likely interceptor based craft.”
Others were more sceptical.
One said: “These things flying by are likely junk or some space rock.”