The rate fell for the second consecutive month, down from April's revised rate of 3.7 and the 4 percent rate from May 2013.
May's rate remains well below the preliminary national unemployment rate of 6.3 percent in May, which was unchanged from the revised April figure.
The report shows nonfarm employment increased by more than 10,000 jobs over April, with the largest growth in mining and construction; trade, transportation and utilities; and leisure and hospitality.
In central Nebraska, the micropolitan statistical areas for the tri-cities either stayed the same or rose slightly over April.
The Grand Island MC and Kearney MC each rose a tenth of a percentage point over April. The rate for the Grand Island MC rose to 3.2 percent; the Kearney MC rate was 2.7 percent.
The Hastings MC rate remained unchanged at 3.3 percent for May.