It took Giroud, who owed his place in the starting lineup to Benzema's absence, 115 international appearances to score his 51 goals, while Henry needed 123 from 1997-2010.
This is Real Madrid's third consecutive Champions League title.
Goal-line technology was used for the first time in a World Cup match to decide if the ball had crossed the line during France's Group E clash with Honduras on Sunday.
Rediff.com looks at the five best goals from the concluding round in the league stage.
Barcelona closed in on the LaLiga title as they picked up a 1-0 win over Osasuna and holders Real Madrid went down to
Real Madrid's Karim Benzema produced an audacious back-heeled assist for Casemiro to score as they beat Espanyol 1-0 away on Sunday to capitalise on Barcelona's slip-up a day earlier and move two points clear at the top of La Liga. Brazilian midfielder Casemiro slid to the ground to guide the ball home on the stroke of halftime after being played in by a stroke of genius from Benzema, who dragged the ball through the legs of his marker Bernardo Espinosa to find his team mate.
Madrid were not at their best but moved three points clear of rivals Barcelona.
Karim Benzema is returning to full fitness at just the right time for Real Madrid, who will play Atletico Madrid in the Champions League final on May 28. Coach Zinedine Zidane was relieved to see the Frenchman come back from a hamstring problem and score in Sunday's 3-2 triumph over Valencia, a result that kept Real just a point behind Barcelona with one game to go in the race for the league title. "He's not been at 100 percent for a while. We've seen that it wasn't easy for him physically," Zidane told Real's website. "(Against Valencia) he coped with it well and without any problems. We've got two games left. He's getting better every day and he's not feeling any discomfort from his last injury."
Argentina's Lionel Messi won the Ballon d'Or award for the best player in the world for a record-stretching seventh time on Monday, beating Robert Lewandowski and Jorginho to lift soccer's most prestigious trophy yet again.
A magistrate lifted on Thursday a ban on France striker Karim Benzema meeting teammate Mathieu Valbuena, whom he is suspected of trying to blackmail over a sex video, which has meant the two cannot feature on the same team. The public prosecutor appealed, but dropped an earlier statement that the ban would have to stay in place until the appeal was heard. The magistrate separately upheld a ban on Benzema contacting other people linked to the investigation. Real Madrid player Benzema, who denies any wrongdoing, has been suspended indefinitely from the France team because of suspicion of involvement in a scam to blackmail Valbuena over a video sex tape. Being allowed to meet Olympique Lyonnais midfielder Valbuena could, at least in theory, enable the two to play for the same team. French Prime Minister Manuel Valls has said that Benzema should not play for France before being cleared.
Loris Karius told fans he was 'infinitely sorry' for his two catastrophic errors in the side's 3-1 defeat to Real Madrid in the Champions League final and said he had struggled to sleep after Saturday's game.
Karim Benzema made history at Real Madrid, the battle for the top four continues to heat up
Five strikers who surprised us in World Cup 2022.
Real Madrid's attacking trio of Cristiano Ronaldo, Gareth Bale and Karim Benzema need to score twice in the Champions League final on May 28 against Atletico Madrid to hit the century mark for goals this season for the first time.
France will play Argentina, who are also looking to win the World Cup for the third time, in Sunday's final at the Lusail Stadium.
With his calm guidance, Ancelotti gave Vinicius the confidence he needed to flourish.
Real Madrid saw off a stirring Chelsea fightback to book their place in the Champions League semi-finals following a 3-2 defeat after extra time in a scintillating second leg at the Santiago Bernabeu on Tuesday to go through 5-4 on aggregate.
All the latest news from the summer transfer window...
Holders Real Madrid reached the Champions League final for a third year in a row after taking advantage of Bayern Munich's carelessness in attack and defence to draw 2-2 in their semi-final second leg on Tuesday, and winning 4-3 on aggregate, at the Santiago Bernabeu, in Madrid, Spain, on Tuesday.
A first-half double from Karim Benzema helped Real Madrid cruise to a 3-0 victory away to Cadiz that moved them top of La Liga.
The players celebrated with their families and loved ones in the stadium as each player lifted and kissed the trophy that had Real Madrid etched on it.
France's probable starting line-up for World Cup final
In a big blow to Real Madrid's title hopes, Real Betis held them to a goalless draw in their La Liga encounter on Sunday.
Real Madrid striker Benzema and Bayern Munich forward Ribery, who are not attending the four-day trial, are being tried on charges of paying Zahia Dehar, a prostitute-turned-fashion model, for sex in 2008 and 2009, when she was aged 16 and 17.
Mathieu Valbuena and Karim Benzema, embroiled in a sextape scandal, were omitted from France's squad on Thursday for the games with Germany and England later this month while Hatem Ben Arfa was recalled.
PSG made hard work of beating Strasbourg 4-2 in the French Ligue 1, while Real Madrid registered a comfortable 4-1 win away to Alaves in their opening game.
Karim Benzema scored twice in the final few minutes to give Real Madrid a 3-1 win at Espanyol, while Barcelona breezed past Real Valladolid with a comfortable 4-0 LaLiga victory.
Bayern edge closer to Bundesliga title after win at Arminia
Karim Benzema netted a second-half hat-trick as Real Madrid got back to winning ways with a 3-0 victory over Athletic Bilbao in La Liga on Sunday.
Goalline technology passed its first World Cup test with flying colours at the FIFA football World Cup on Sunday.
Real Madrid coach Carlo Ancelotti praised his team for beating holders Bayern Munich in Wednesday's Champions League semi-final, first leg without their two biggest names taking a leading role.
From Ana Ivanovic riding a dolphin to Roger Federer enjoying the company of Mickey Mouse to Real Madrid's Karim Benzema doing what looks like a Bollywood dance step, Rediff.com has it all snapped right here...
Photos of the Group E match between France and Honduras at Porto Alegre.
Real Madrid were made to toil by the 10 men of Athletic Bilbao but eventually won 3-1 on Tuesday thanks to two strikes from Karim Benzema to go level on points with La Liga leaders Real Sociedad.
Real Madrid have started the season flying with three wins from three games.
A second half double from Karim Benzema helped Real Madrid to a 4-1 victory at Girona on Sunday and maintain their perfect La Liga start in the post-Cristiano Ronaldo era.
Unconvincing Real Madrid survived a huge scare at rock bottom Rayo Vallecano when they conceded two quickfire second-half penalties but held on under severe pressure to secure a nervy 3-2 victory in La Liga on Saturday.
France striker Karim Benzema came into the World Cup following a fine season with Real when he netted 24 goals in 52 games in all competitions and helped the world's richest club by income to win a 10th Champions League crown and the King's Cup.
'I asked the coach for an explanation. An explanation can be just two minutes long. It's not complicated ... But I am still at the coach's disposal. The coach knows this' 'I have the feeling that my name is being manipulated for reasons that have nothing to do with football'
Gareth Bale scored against his former club Tottenham Hotspur as Real Madrid claimed a convincing 2-0 win over the Premier League club in a friendly at the pre-season Audi Cup in Germany.