As of 03/2011 approximate prices are:
Circulated: $20 to $60 depending on the bill's condition
Uncirculated: $250
Your bill should have the words North Africa overprinted in large letters. It's an interesting artifact from WWII - the US printed special bills for use in combat zones and threatened areas such as Hawaii. They were overprinted with the places where they were to be used and had special colors to distinguish them from standard bills. That way they could be quickly declared worthless if they fell into enemy hands.
Serial Numbers
A bill's serial number is a counter and a security feature. In most cases it doesn't affect a bill's value or help to identify it. Some collectors specialize in bills with low serial numbers (e.g. 00000005) or unusual patterns (12344321) so these can bring above-average prices.
DISCLAIMER: The values quoted are market averages as of the date shown, but may be different for an individual bill due to variations in quality and other factors. Also the wholesale (buying) price of a bill will be less than the selling (retail) price. A reputable currency dealer will be able to give a more accurate valuation based on an in-person inspection.
Despite the 1934 date, yellow-seal bills were actually printed during WWII for use by troops in North Africa. More than one denomination was issued; please see the following questions: "What is the value of a 1934 US 1 dollar bill with a yellow seal?" "What is the value of a 1934 US 5 dollar bill with a yellow seal?" "What is the value of a 1934 US 10 dollar bill with a yellow seal?"
Despite the 1934 date, yellow-seal bills were actually printed during WWII for use by troops in North Africa. More than one denomination was issued; please see the following questions: "What is the value of a 1934 US 5 dollar bill with a yellow seal?" "What is the value of a 1934 US 10 dollar bill with a yellow seal?"
1934 ten dollar bill green with B stamp
$666.00
A denomination is needed. Please determine your bill's denomination and look for the question "What is the value of a 1934 C US [denomination] dollar bill?"
The value of a 1934 five(5) dollar bill will vary depending on the condition and the type of the money. For the best value information search eBay as well as other online aution sites.
Value of 1934c $20 bill
Your bill isn't really from Hawaii. It was printed during WWII for use in that territory. Please see the question "What is the value of a 1934 US 20 dollar bill with HAWAII on it?" for more information.
Your bill was actually printed in Washington for use in Hawaii during WWII. Please see the question "What is the value of a 1934 US 5 dollar bill with HAWAII on it?" for much more information.
Please look at your bill more closely; the date should be 1934. There's more information at the question "What is the value of a 1934 US 20 dollar bill with HAWAII on it?"
Check
Your bill was specially-printed during WWII for use in North Africa. The seal color was originally yellow but may have darkened with age; please see the question "What is the value of a 1934 A US 5 dollar silver certificate with a yellow seal?" for much more information.