With nearly all the votes counted, the Fidesz party, led by Viktor Orban, who promised to restore “law and order” and pull Hungary from recession, won 263 of the 386 seats in Parliament, followed by 59 seats for the Socialists and 47 seats for the far-right Jobbik party. The Jobbiks have drawn international scorn for what some critics call barely veiled anti-Semitism and language against the country’s large Roma population.

“The new government’s strong majority means they won’t have to negotiate with Jobbik and can seek to weaken their influence,” said Attila Gyulai, managing director of the Political Capital Institute in Budapest, a research and consulting firm. “Jobbik will likely respond by speaking louder and in a more spectacular way, but in policy terms, they will be outnumbered.”

Mr. Orban, a former prime minister who became famous in 1989 when, as an opposition leader, he called for the withdrawal of Soviet troops from Hungary, has vowed not to allow the far right to hijack his agenda.

Hungary is among the countries in Eastern Europe hardest hit by the international financial crisis. In late 2008 it was forced to approach the International Monetary Fund for $25 billion in emergency financing. Unemployment has soared to 11.4 percent and the economy contracted by 6.3 percent last year.

The strong mandate should enable Mr. Orban, 47, to follow through on his pledge to streamline the government bureaucracy, grant citizenship to ethnic Hungarians living in neighboring countries and cut the number of parliamentary deputies in half. But analysts warned that the overwhelming majority also meant that the government could face a backlash from voters if it fails to deliver on its promises of leading the country out of recession.

The incoming government has indicated that it wants to negotiate with the I.M.F. to allow it to run a higher budget deficit than the current 2010 target of 3.8 percent of gross domestic product. But analysts said the close scrutiny by already jittery financial markets will prevent it from deviating too far from the austerity measures the I.M.F. has prescribed.