It was named for Ezra B. Eddy, a Fargo, North Dakota banker who had died a few weeks earlier.

[3][4] The Sheyenne River flows easterly through the upper part of the county.

The county terrain consists of semi-arid hills, featuring some agriculture.

[5] The terrain slopes to the east and slightly to the north, with its highest point on a hill at the county's southwestern corner, at 1,562 ft (476 m) ASL.

Source:[5] Eddy County voters tend to vote Republican.

In 71% percent of the national elections since 1960, the county selected the Republican Party candidate.