They jury reached a verdict about 1:20 Wednesday afternoon at the Federal Courthouse in Amarillo.
Sentencing will be October 9 in Amarillo.
Aldawsari, a former student at Texas Tech University and South Plains College, faces one count of attempting to use a weapon of mass destruction.
Agents with the Federal Bureau of Investigation arrested Aldawsari in February 2011 after learning of his attempt to purchase a large amount of a chemical called phenol, which can be used to make homemade bombs.
During the trial, agents testified that Aldawsari had the other two chemicals needed to make a highly explosive substance called picric acid. Aldawsari also had other supplies needed to make an improvised explosive device in his apartment.