One of them, an FBI chemist, testified that a “minimal” amount of cocaine was found in a leather pouch that contained Mr Biden’s firearm.
But the witness said he could not say for sure how the cocaine got there, or who it belonged to.
The US president’s son is accused of lying about his drug use on a form when purchasing the firearm and ammunition from a Wilmington, Delaware, gun shop on 12 October 2018.
Mr Biden, 54, has pleaded not guilty to the charges, with his defence team saying he was in recovery at the time and therefore did not lie on the paperwork.
It is the first trial for the son of a sitting US president. Mr Biden could face up to 25 years in prison if convicted.