Argyle were denied on several occasions by Town's on-loan goalkeeper Stephen Henderson before they let Andy Williams steal in for the Glovers` winner in the 66th minute.
Plymouth, who also had Yannick Bolasie sent off deep into stoppage time, are now dangerously close to the relegation zone - just one place above Yeovil but level on points and goal difference.
Reid said: "We just can't get a goal. I know it sounds like a broken record. We are creating chances but we can't stick it in the net and we also can't keep a clean sheet at the moment.
"We`ve just got to get on with it and hopefully start sticking away a few of the chances.
"The goal we conceded wasn`t good. We haven't dealt with things from our part. The lad got in the cross from the right and we didn't get it away."
Source: PA
Source: PA