Neil was pleased with the overall performance of his team, who equalised after falling behind early on and then had much the better of the second half.
But the Canaries found Stoke goalkeeper Jack Butland in fine form and were also culpable of wasting some excellent chances.
Neil said: “I think there is a lot of frustration.
“I think if you look at the stats of the game, in terms of possession, in terms of opportunities created, we were the better side, and should have come away with three points.
“Unfortunately, whether from good goalkeeping or poor finishing, we did not manage to get the win, which I thought we deserved.”
Neil was not happy with the defending at a free-kick which allowed Mame Biram Diouf to head Stoke into an 11th-minute lead but otherwise he was pleased with the all-round play of his side.
“That goal was disappointing,” he added. “A sloppy set-piece, just individuals not doing their job.
“But I felt throughout the match, in terms of the way my players went about their business, I thought they were great.
“Their work ethic was great and some of the opportunities we created and how we went about it, I can’t have any complaints with them at all.
“I think that is about three games where we have had about 18 shots at goal, so we have created enough chances. We have had six or seven in the second half which could have easily resulted in a goal. ”