Barca were 3-1 up after 35 minutes when Messi, anticipating that the Girona wall would jump up after he took a free-kick, struck it along the ground towards the goal.
Messi grabbed two while Suarez stole the headlines with his first hat-trick of the season.
Barcelona was truly phenomenal against Girona in a La Liga game played at Camp Nou on Saturday evening and the performance that the entire team produced in the 6-1 triumph got the whole stadium on its toes.
"It's hard to get used to things like this".
Coutinho received the ball from Suarez on the edge of the area, took a Girona defender left and then right before bending a handsome shot into the far corner. His choice to fire the shot directly under the jumping Girona wall paid off, as the ball went under everyone's legs and into the left-hand bottom corner of Bounou's goal. Then when you see it happen you think 'ah, of course.' Leo makes it look easy, but it isn't easy.
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He told Movistar; "Leo is wonderful".
Valverde started Barcelona's two record signings for the first time since having them both available, with Coutinho and Ousmane Dembele lining up alongside Messi and Suarez. With each game, I have a better understanding with him and with Suarez.
French winger Dembele played his part too late on as he crossed from the left for Suarez to complete a hat-trick. Dembele is a great player, I'm sure that with time and work we will learn. "[Messi's] very important for us".
A 10-point lead over Atletico Madrid - who face a tricky trip to Sevilla on Sunday - was essentially secured by half-time, but Philippe Coutinho spectacular first league strike for the Blaugrana and Suarez's treble gave the home faithful further reason to revel.
Barcelona ended the game with 10 men as Semedo was forced off with injury after Valverde had already made his substitutions.