Jurgen Klopp sent his congratulations to Manchester City after they pipped his side to the Premier League title.
Liverpool beat Wolves 2-0 but finished just a point behind Pep Guardiola's men, despite a stunning season that saw them lose just one game - against City back in January.
The Reds led their rivals briefly after Sadio Mane had put the hosts in front, while City trailed to Glenn Murray's header against Brighton.
However, Guardiola's men hit back to run out emphatic 4-1 winners to seal victory and the title.
He told BBC Sport: "Congratulations to Manchester City. We tried everything to make it as difficult as possible but not difficult enough. I couldn’t be more proud of the boys.
"It’s incredible what they did all season and today was a strange situation. We were really good until 1-0, what happened then was clear. You can’t tell the people to calm down.
"At that moment [when Liverpool fans celebrated Brighton's goal] it was a shock for everyone and Wolves were there. We had to fight. In the end we scored two and kept a clean sheet. It’s nice but not how we wanted it.
"It’s clear we had to work hard and City too. Our target during the week was to get 97 points, we got that – that’s special.
"We want to write our own history and we did. Today feels not so good but we have plenty of time to prepare for an important game in three weeks."
Klopp added: "The team made so many big steps in the last year. The boys were all there from last season apart from Alisson. He had a big impact but all the rest were here last season.
"It’s a very special season, a better season than I played with my team [Borussia Dortmund] when we were champions in Germany. But we cannot ignore one team were better.
"It’s clear we were lucky in moments, like City were. We were unlucky against City but scored in the last second against Everton and late on against Newcastle, they could have been draws as well.
"The season is a very long, hard one. You have to deal with setbacks. We were always competitive. City got the points they have because we were there.
"They have 198 points in two years, that’s special. We made such big steps. It’s only the first step. Always after a good year we lost key players [in the past] but we won’t [this time] so we’ll be there again."