The fight against online scammers never seems to end, but Google Inc. this week scored a small victory in the battle.

A federal judge awarded the Internet giant $1.6 million in its case against a handful of companies that it said had been using the Google name and logo in get-rich-quick scams. The companies advertised using slogans like "Easy Cash Using Google" and "Use Google to Make 1000s of Dollars," the tech company said. Google's suit alleged that the companies were violating trademark law.

Google...