(Adds trade data, market reaction)
* Nonfarm payrolls increase by 250,000 in October
* Unemployment rate unchanged at 3.7 percent
* Average hourly earnings rise 0.2 percent
* Trade deficit widens to $54.0 billion in September
WASHINGTON, Nov 2 (Reuters) - U.S. job growth rebounded sharply in October and wages recorded their largest annual gain in 9-1/2 years, pointing to further labor market tightening that could encourage the Federal Reserve to raise interest rates again in December.
The Labor Department's closely watched monthly employment report on Friday also showed the unemployment rate steady at a 49-year low of 3.7 percent even as more people entered the labor force, in a sign of confidence in the jobs market.
Sustained labor market strength could ease fears about the economy's health following weak housing data and stalling business spending. Nonfarm payrolls increased by 250,000 jobs last month as employment in the leisure and hospitality sector bounced back after being held down by Hurricane Florence, which drenched North and South Carolina in mid-September.
There were also big gains in manufacturing, construction and professional and business services payrolls. Data for September was revised to show 118,000 jobs added instead of the previously reported 134,000.
Economists polled by Reuters had forecast payrolls increasing by 190,000 jobs in October and the unemployment rate unchanged at 3.7 percent. The Labor Department said Hurricane Michael, which struck the Florida Panhandle in mid-October, "had no discernible effect on the national employment and unemployment estimates for October."
Average hourly earnings rose five cents, or 0.2 percent, in October after advancing 0.3 percent in September. That boosted the annual increase in wages to 3.1 percent, the biggest gain since April 2009, from 2.8 percent in September.
Employers also increased hours for workers last month. The average workweek increased to 34.5 hours from 34.4 hours in September.
Strong annual wage growth mirrors other data published this week showing wages and salaries rising in the third quarter by the most since mid-2008. Hourly compensation also increased at a brisk pace in the third quarter.
Firming wages support views that inflation will hover around the Fed's 2.0 percent target for a while. The personal consumption expenditures price index excluding the volatile food and energy components has increased by 2.0 percent for five straight months.
The Fed is not expected to raise rates at its policy meeting next week, but economists believe October's strong labor market data could see the U.S. central bank signal an increase in December. The Fed raised borrowing costs in September for the third time this year.
U.S. Treasury yields rose after the data while the U.S. dollar pared gains against a basket of currencies. U.S. stock index futures pared gains.
Employers, scrambling to find qualified workers, are boosting wages. There are a record 7.14 million open jobs.
Online retail giant Amazon.com Inc announced last month that it would raise its minimum wage to $15 per hour for U.S. employees starting in November. Workers at United States Steel Corp are set to receive a hefty pay rise also.
Employment gains have averaged 218,000 jobs per month over the past three months, double the roughly 100,000 needed to keep up with growth in the working-age population.
That is seen supporting the economy through at least early 2019 when gross domestic product is expected to significantly slow as the stimulus from the White House's $1.5 trillion tax cut package fades.
The labor force participation rate, or the proportion of working-age Americans who have a job or are looking for one, increased two-tenths of a percentage point to 62.9 percent last month.
A broader measure of unemployment, which includes people who want to work but have given up searching and those working part-time because they cannot find full-time employment, fell to 7.4 percent last month from 7.5 percent in September. The employment-to-population ratio rose two-tenths of percentage point to 60.6 percent, the highest since January 2009.
Last month, employment in the leisure and hospitality sector increased by 42,000 jobs after being unchanged in September. Retail payrolls rose by only 2,400, likely restrained by layoffs related to Steinhoff's Mattress Firm bankruptcy as well as some store closures by Sears Holdings Corp.
Construction companies hired 30,000 more workers in October. Jobs in the sector have been increasing despite weakness in the housing market. Government payrolls rose by 4,000 jobs in October.
Manufacturing employment increased by 32,000 jobs in October after adding 18,000 positions in September. Job gains in the sector, which accounts for about 12 percent of the U.S. economy, could slow after a survey on Thursday showed a measure of factory employment fell in October.
So far, manufacturing hiring does not appear to have been affected by the Trump administration's protectionist trade policy, which has contributed to capacity constraints at factories. The United States is locked in a bitter trade war with China as well as tit-for-tat tariffs with other trade partners, including the European Union, Canada and Mexico.
Despite the protectionist measures, the trade deficit continues to deteriorate. In a separate report on Friday, the Commerce Department said the trade gap increased 1.3 percent to $54.0 billion in September, widening for a fourth straight month.
(Reporting by Lucia Mutikani Editing by Clive McKeef and Paul Simao)