If you are ever looking for a good read, and so you can get the full story. Read the Han Solo Trilogy. The first book is the Paradise Snare, second is the Hutt Gambit and the third is Rebel Dawn.
To answer your question in a more specific manner, Han Solo won the Falcon in a game of Sabaac, which is a card game, very big in the whole Star Wars galaxy. Sabaac games can last for days, this particular one lasted, I believe, four days. Han and Lando were the last players left and Han won, Lando promised whoever won could pick "any ship on his lot," and was reluctant to hand the Falcon over to Han. However, he kept his promise. Which is awesome, because Han is so much better with the Falcon.. Lando isn't much of a pilot, Han actually taught him how to fly.
he gambles
He wins it off of Lando Calrissian in a card game called Sabacc, similar to real-world Poker. For more info, read Star Wars: Millenium Falcon.
Han Solo's ship is The Millennium Falcon
The name of Han Solo's ship is the Millennium Falcon.
Han Solo, pilot of the Millennium Falcon.
Originally, it belonged to Lando Calrissian, but he lost the ship in a bet with Solo over a card game called Sabbac.
the millennium falcons co pilot is chewbacca.
Han Solo's ship is The Millennium Falcon
Han Solo won the Millennium Falcon from Lando Calrissian in a game of sabacc.
Han Solo and Chewbacca
The name of Han Solo's ship is the Millennium Falcon.
Han Solo won the Millennium Falcon from Lando Calrissian in a game of Sabacc.
Han Solo's first mate on the Millennium Falcon is spelled Chewbacca.
yes they did.
Han Solo, pilot of the Millennium Falcon.
Lando Calrissian
Millennium Falcon
Chewbacca the Wookiee.
Han Solo claimed the Millennium Falcon can make the Kessel Run in twelve parsecs. You will note though that "parsecs" is a unit of distance. So, if Captain Solo's claims are true, he may mean that the Falcon can make the Kessel Run in a shorter distance than what is known.