Stoke led for well over an hour after Xherdan Shaqiri's early header, but two quickfire goals in the second half, including a free header to win the game, rewarded Bournemouth's pressure.
But asked if Stoke should have walked away with something, Lambert said after the game: "One hundred per cent. I was disappointed with a draw and gutted to come away with nothing.
"We never deserved that. I thought we were excellent. Everything was great, we really looked good.
"The hunger, everything, they did everything I asked of them and I think everybody saw that.
"Just that the second goal was the one that hurt us. We as a team and as a club have to stop that error.
"But football wise and defensive wise we looked solid, it's just that second goal was really disappointing.
"It's pretty quiet (in the dressing room) as it should be. The lads know they played well and that's the positive to take out of it. We played well with and without the ball."