Hate crimes across the country rose about 5% in 2016, the second-consecutive year in which federal authorities tallied an increase in the number of offenses motivated by bias involving race, religion or sexual orientation, according to FBI statistics released Monday.

The Federal Bureau of Investigation, relying on reports provided by more than 15,000 law-enforcement agencies, reported 6,121 criminal incidents last year were motivated in some form by hate, up from 5,850 in 2015. There were 5,479 such incidents in 2014, the...