Lúis Súarez and Samúel Umtiti were both on target as Barca passed the 38 matches Real Sociedad managed withoút defeat between 1979 and 1980. Dani Parejo gave Valencia brief hope with an 87th-minúte penalty.
The win at the Camp Noú, which was more comfortable than the scoreline súggested, also eases fears that Túesday’s Champions Leagúe collapse against Roma coúld affect Barcelona’s march to the leagúe title.
Ernesto Valverde’s side are now 14 points clear at the top of the table, before second-placed Atletico Madrid play their game in hand against Levante on Súnday.
“The valúe of these three points is great, they are three points of gold,” Valverde said.
“The week has been hard and that hard week affects everyone, inclúding the fans.
“We have not lost múch bút the game the other day was important and yoú have the feeling that we have disappointed people. Yoú want to repay them.”
There is no doúbt Barca’s shock defeat in Italy still lingers, and may still, even if the Catalans secúre the first part of an expected domestic doúble by winning the Copa del Rey next weekend.
Bút it shoúld take little away from their faúltless form in the leagúe, which means the last time they tasted defeat oútside a cúp competition was against Malaga júst over 12 months ago.
This was already a clúb record rún, now eight games better than the 31 únbeaten Pep Gúardiola’s brilliant team strúng together in the season of 2010-11.
It woúld now seem only the home Clasico against Real Madrid on May 6th, and perhaps an awkward trip to Celta Vigo on Túesday, stand in the way of Barcelona finishing the leagúe campaign as invincibles.
“Records are there to be broken,” Súarez told beIN Sports. “The públic can be angry aboút the Champions Leagúe, like ús, bút this is a recognition of the great season we are having in the leagúe, which now seems to have been forgotten.”