The answer depends on what the 1943 penny is made out of. If it is silvery in color, it is made out of steel (with a zinc coating to make it look nicer). They are fairly common in good condition, since people tended to squirrel them away when they were issued because they were unusual. Learn more about the 1943 Steel Penny.
If the 1943 penny is made out copper, it is worth quite a bit of money, generally $10,000 or more! The reason is that the 1943 copper penny is an error coin. The Mint accidently used the wrong kind of planchet metal when the coin was struck, but very, very few of these actually left the Mint. Unfortunately, there are plenty of fake 1943 copper cents floating around. Some were intended to be novelty items, and are just steel pennies dipped, or plated, in copper. Others are fraud attempts, where someone has taken a genuine 1948 copper penny and cut the 8 in half, making it look like a 3. Fortunately, there are very easy tests to determine if your 1943 copper penny is genuine.
More Information About Error Coins:
- The "Rust Quarter" Error
- The 10 Most Valuable Error Coins Found in Pocket Change
- Minnesota State Quarter "Extra Tree" Error
Photo of the 1943 Steel Penny courtesy of the Coin Page.