What is the value of a 1967 US cent?

Three billion cents were minted in 1967 so they're not scarce. Any that you find in change are only worth a penny.

Due to the coin shortage of the mid-1960s none of these coins had mint marks although they were produced at all 3 mints.

No proofs were made that year, but special "SMS" coins were struck. Even these and uncirculated ones retail for less than 50¢ except in the very highest grades.