The court heard 18-year-old Kazi Islam was inspired by the 2013 killing of British soldier Lee Rigby.
Kazi Islam was said to have used "flattery and threats" on social media to try to persuade Harry Thomas, who has learning difficulties, to buy ingredients for a pipe bomb to kill two soldiers.
Prosecutor Annabel Darlow QC had told the court that Islam had tried to encourage Mr Thomas to kill a soldier by telling him innocent children were being murdered by military forces.
"Thomas was a vulnerable, not particularly bright young man who was desperate to impress Islam and to try and forge some sort of friendship with him,” Ms Darlow told the jury.
The plot was said to have been unwittingly sabotaged by Mr Thomas, who failed to buy any of the right ingredients for a bomb and revealed what was going on to a few friends.
Giving evidence, Islam told the jury he had talked to Mr Thomas about getting the ingredients for a bomb as an "experiment" in radicalisation.
He was convicted by a majority of 10 to two and will be sentenced on 29 May.
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