The three similar promos focus on Renner's new character Aaron Cross, highlighting his scientifically-altered chromosomes and on the assassins sent to kill him.
Rachel Weisz and Edward Norton are also featured in the Deadline-released spots, playing Cross's ally and adversary respectively.
A new poster for the film was released last week.
It has been rumoured that the next Bourne instalment will feature both Renner and Matt Damon.
The Bourne Legacy is released on August 10 in the US and August 13 in the UK. Watch a trailer below: