If it hasn't made these changes by September 28, the European Union can fine the company 5 per cent of its daily revenue daily.
The European Commission had found that Google's shopping service had seen traffic jump 45-fold in the United Kingdom when it began to abuse its dominance.
A spokesman for Google confirmed the company had filed the appeal but said the company had no further comment to make.
Brussels had accused Google of giving more preference to its own services in the search results to the determinant of other price comparison sites, such as TripAdvisor and Expedia. A court spokeswoman said Google has not asked for an interim order to suspend the decision to levy an fine.
At the time of the ruling, Europe's antitrust chief Margrethe Vestager said Google's strategy for attracting customers to its online shopping service was not just about being better than rivals.
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At the same time, Facebook would score extra content, so permanently adding the feature world-wide seems like a no-lose situation. And news use among Snapchat's user base increased 12 percentage points, to 29% now , up from 17% in early 2016.
Spokesperson for the commission said it will defend its decision in court.
The commission's fine of €2,424,495,000 was said to take into account the "duration and gravity of the infringement", and was based on Google's revenue from its comparison shopping service in the 13 countries where the illegality occurred.
The EU Court of Justice told a lower tribunal last Wednesday to re-examine U.S. chipmaker Intel's appeal against a 1.06 billion euro fine, dealing a rare setback to the Commission.
The EU is also expected to soon decide another case against Google over abuse of its dominance of internet search to impose its Android mobile operating system.
The EU is now also investigating whether Google tried to squeeze out its rivals in online search advertising and through its Android mobile operating system.