The Reds led in the 42nd minute when Martin Skrtel prodded home from close range but were back on level terms when the Slovakian attempted to cut out Luka Modric's 65th minute cross but could only turn it into his own net.
The match was then saved by Spurs when Aaron Lennon netted after the 90 minutes of regular time, leaving Hodgson to rue what might have been.
"To lose in injury time in the way we did is very hard to take," he told Sky Sports.
"I'm very disappointed for the players, very disappointed that we didn't come away from here with at least one point which would have been something we could have been proud of.
"Unfortunately it's a defeat and defeats hit you very hard.
"We missed some very good chances. We played some good football to get us into that position.
"We haven't played that badly this year but we haven't got the points and that's the problem.
"Going away with nothing sets us back once again and I suppose one can take consolation from the performance but on the other hand the performance needs to get you results and this performance didn't get us a result."