Chances were few and far between at Anfield, with Stoke failing to record a shot on target.
However, Pulis has come away from Merseyside full of praise for his squad.
"When we got the Liverpool team it looked like they would play with three centre-halves so we made some adjustments and in the short time it took for us to discuss it and transfer it to the pitch the lads did brilliantly," he told BBC Sport.
"They are a very, very good side Liverpool, so it is a great result. Four points against Liverpool over the season and we are doing somersaults.
"The attacking side was a little disappointing for us because we got in good positions but gave the ball away."
The Potters are now eighth in the Premier League table.