What do you call the Barcelona style of play? It's call Tiki Taka football, which more or less means touch-touch. The tiki taka style of play is characterized by possessing the ball for large portions of the game, moving the ball quickly from one player to the next and in and out of the opponent, breaking them down with short passes. It is a huge game of keep away, with the other team acting as the "piggy in the middle".
Essentially, the key idea with tiki taka is to always keep the ball away from your opponent and then to deliever that killer pass to score a goal. Tiki taka is all about passing and moving without the ball and making the game very simple. And then, surprise them with the final goal scoring killer pass.
The killer pass is the through ball in behind the defense, just as the other team is lulled to sleep and worn out from chasing the ball all around the pitch all game long. Or, some players can get so frustrated chasing Barcelona around on the pitch that they erupt in anger, as Cristiano Ronaldo has many times when he has had to chase Barcelona players around the pitch.
And this is the way the game of soccer (football) is supposed to be played. The style of play that both Barcelona and Spain play like nobody else in the world, perhaps even better than Brazil. This tiki taka style of play has enabled Barcelona to win numerous La Liga trophies and the Champions League. And then Spain of course just won the 2010 World Cup in South Africa.
Barcelona make the tiki taka style of play look easy, but it's really not. It requires that all the players on the team have the same understanding of the game, are on the same page, and always moving for one another off the ball to give support.
It also requires that every player has exceptional touch on the ball. If the players don't have the touch and control, then they can't make those short passes, usually with just one touch, and pull off those quick give and goes to escape from pressure and find space.
Of course it also helps if you have very skillful players, like Xavi, Iniesta, Messi, and so on. And it's not just the attacking players who are skillfull, it's every single player, from Pique and Puyol in the back all the way up to the forward line. No player is afraid to keep the ball at their feet when under pressure.
And here's another video of Barcelona setting up those little triangles and making those clever passes as they slice and dice through opposing teams, this time the victim is none other than their arch enemy, Real Madrid.