Prosecutors rested their case after presenting the evidence against Abid Naseer.
The 28-year-old Pakistani man is defending himself in federal court in Brooklyn. He has pleaded not guilty and plans to take the stand in his defense.
Prosecutors say the British plot was part of a broader al Qaeda conspiracy calling on other cells to attack civilians in New York and Denmark.
Some of the al Qaeda documents make reference to plots in Europe, the UK and Russia. One reference plans to bomb a pipeline or the US embassy in Russia.
An FBI agent who recovered the evidence also testified.