WASHINGTON — Hiring rose last month in 14 U.S. states, and the unemployment rate fell to record lows in two states, indicating that the job market is getting tighter across much of the country.

The Labor Department said Friday that unemployment rates fell in 10 states and rose in only two. Rates were stable in the other 38 states.

After five years of steady hiring, unemployment rates have fallen below 4 percent in 23 states. Such rates suggest those states are at “full employment,” when nearly everyone who wants a job has one and the unemployment rate reflects the normal churn of hiring and firing.

The rate has fallen below 3 percent in five states: New Hampshire, Colorado, Hawaii, Nebraska and North Dakota.

When unemployment falls that low, businesses may be forced to raise pay to compete for scarce workers. So far, wage gains nationwide remain at about 2.5 percent a year, below the 3.5 percent pace normally associated with a healthy economy.

North Dakota’s unemployment rate fell to 2.3 percent, a record low for the state dating back to 1976 and tying for lowest in the nation with Colorado. Tennessee’s rate of 3.6 percent is also a record low for that state.

Nationwide, employers added 222,000 jobs in June, the most in four months. The unemployment rate ticked up to a still-low 4.4 percent from 4.3 percent.

Nevada, Iowa and Georgia reported the largest percentage job gains, followed by Nebraska and West Virginia. The biggest job gain was in Texas, which added 40,200 positions, followed by Georgia with 27,400 and New York with 26,000.

Alaska’s unemployment rate of 6.8 percent is the nation’s highest, followed by New Mexico at 6.4 percent.

Michigan and Tennessee reported the largest declines in unemployment, with Michigan’s rate falling from 4.2 percent to 3.8 percent. Tennessee’s dropped from 4 percent to 3.6 percent.