The two thieves are not named in the Bible. However an apocryphal book, The Book of Nicodemus, which Bible scholars date to the fourth century AD on the Biblical timeline names the repentant or good thief Dysmas or Dismas and the thief who mocks Jesus is named Gestas.
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You can read more about the Book of Nicodemus or read an English translation of the Book of Nicodemus online (it’s only 24 pages.)
References:
http://en.wikipedia.org/wiki/Gospel_of_Nicodemus
http://en.wikipedia.org/wiki/Gospel_of_Nicodemus
WOW. I believe that the two thieves are shown to us as a choice for us to make. Which do we want to be? Our choice. Their name could be your name does it matter? As for me and my family we will serve the Lord. I have asked Jesus for forgiveness of my sins asking him into my life as my Saviour. I do not believe that God makes mistakes, things are exactly the way they should be. Acceptance is the answer to ALL my problems today. The only one who makes mistakes is me, I must now try to understand what I’m supposed to do. Through Him all things are possible.