A "Metro" or "Metropolitan" police department is usually one that works over several governmental boundaries or was formed from smaller agencies. The Las Vegas Metropolitan Police Department is an example of this. The department was formed from the former Las Vegas Police Department and Clark County Sheriff's Office.
Added: Two other examples: The Metropolitan Police of The District of Columbia (MPDC) is the city police department of Washington, DC and when it was formed it took its name from the "Metropolitan Police" of London.
In the same geographical area is: The Washington Metropolitan Area Transit Authority Police (commonly referred to as the "Metro Police" because the subway system in Washington DC and the Maryland and VIrginia suburbs is known as "The Metro"). Members of this department are certified and sworn as LEO's in all three jurisdictions.