What is the title and author of a science fiction book where a group of thieves,
who live in a world where blood is the main form of currency, go to
the moon, break into a high security blood bank and steal blood?

Hello.

The book is "The Second Angel" by Philip Kerr.

See this description on Amazon.com:

"In 2069, Earth is devastated by climate change, killer plagues, and
scarce resources. P2 is a deadly (but curable) virus that infects
almost the entire population. The cure is clean blood, which is in
critically short supply and is affordable only to the very rich, who
live in protected enclaves and engage in market speculation on the
price of the vital fluid. On the moon, sex hotels and high-security
prisons share turf with the First National Blood Bank, where
uncontaminated blood is kept. Enter Dana Dallas, a crack security
systems designer and member of the wealthy, healthy elite. When he
finds out his infant daughter needs clean blood to survive, he starts
a chain of events that will make him the sworn enemy of some very
dangerous people. Dallas teams up with several shady characters to try
and break the bank."
http://www.amazon.com/gp/product/0671024728/

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search strategy:
"breaking into a blood bank"
"second angel" kerr

I hope this helps.