The Justin Lin directed movie - taking over from JJ Abrams who was in a galaxy far far away at the time - takes $59 million on its opening weekend.
This year is the 50th anniversary of the TV series debut, but unfortunately this film has fallen short of its predecessors which both took in the $70 million or above region.
The new film has got far better reviews than Star Trek Into Darkness which could carry it onto a better gross in the long run.
The Secret Life of Pets falls to number 2 this week with a weekend gross of $29.3 million which brings the animated films total gross to $260 million.
Finding Dory is this week the highest total grossing movie and the longest running movie on the US top 10 with a $460 million total gross over 6 weeks.