Tigers trailed 9-16 at half-time, clawed their way level with a try from Johne Murphy, but fell behind at 16-19 before scores from Dan Hipkiss and Toby Flood settled the game in the hosts favour in front of a sell-out Welford Road crowd of 17,498.
It was always going to be a big game and there was a lot of pressure on us after losing last Friday, said Meyer.
The game-plan was to be positive, throw the ball around a bit, and I thought we played some good rugby.
Even though we were behind at half-time, two or three times we made good attacks and possibly should have finished off a move with a try.
I am very proud of our guys. At half-time there was no panic, we just knew we had to keep going at them and in the second half we played much better and executed a few of our opportunities.
Northampton also played well and deserve a lot of credit. They tried to be positive and move the ball around. That makes for a good game.
Tigers now switch their focus to an EDF Energy Cup tie at Bath on Saturday before the next home game, against the Ospreys in the Heineken Cup on Sunday, October 12. Tickets are on sale now from the Tigers ticket office. Call the hotline on 08701 28 34 30, book online or call in at Welford Road.