Championship leader Nico Rosberg says that it was important for him to break the momentum harboured by Mercedes team-mate Lewis Hamilton.
Hamilton won four races in a row but was beaten to pole position and the win in Monaco by Rosberg.
That result also left Rosberg four points clear of the Brit in their battle for the world title.
"Lewis drove really, really well and pushed me massively hard but I kept it cool and was able to take the win," said Rosberg.
"He has been on top of his game so it was important for me to break his momentum last weekend. I now have the lead again in the World Championship which is great. But it's still very early days and it's going to continue to be an extremely tight battle between us this year."
Hamilton says that his defeat in Monaco means he heads to next weekend's Canadian Grand Prix more determined to claim victory.
"Monaco was another great weekend for the team and I'm so proud of all the hard work the guys put in to make it happen," he said.
"Of course, from a personal perspective it wasn't what I was aiming for. I race to win every time and unfortunately it just wasn't my weekend. But I drove with all my heart and gave it all I could, so I head to the next race with even more energy and determination.
"Montreal is one of my favourite weekends of the year. It's where I won my first Grand Prix back in 2007 and I've had another two victories there since, so it holds some special memories for me."