Cayan is one of the world's tallest skyscrapers, and the images show the wonderful Dubai skyline, with all the shorter buildings way below her.
In videos and photos published on YouTube and on Instagram, the 22-year-old model can be seen holding onto the arm of a male daredevil assistant.
Her first video and photo posts of the stunt on Instagram in January had more than a million views, with some praising her for being daring.
'I still can not believe that I did it. "I get sweaty palms when I watch the video".
The footage was taken at the top of Dubai's Cayan Tower which is 306 metres tall, with 73 stories and was the world's tallest building when it opened in 2013.
However, many have criticised the model's move for being reckless.
Another person derided Odintsova, saying she would do anything for "fame".
While another said "crazy! looks like God gave you beauty, but seems like he forgot to grace you with a brain".
"This is so not worth your life", another said. "That was just stupid I guess you'll do anything for Fame", he wrote.
"Speechless by the amount of stupidity". She later drops off the side of the building, again with no safety equipment, and dangles a thousand feet from the ground, her life quite literally in her assistant's hands.
"If this becomes a trend I really will lose faith in humanity".