Centre-right parties have done well in elections to the European Parliament at the expense of the left.
Far-right and anti-immigration parties also made gains, as turnout figures plunged to 43% - the lowest since direct elections began 30 years ago.
The UK Labour Party, Germany's Social Democrats and France's Socialist Party were heading for historic defeats.
The centre-right European People's Party (EPP) looks set to continue to hold power in the parliament.
Jose Manuel Barroso, who seems set for a second term as European Commission president following the centre-right success, thanked voters and assured them their voices would be heard.
FALLING TURNOUT"Overall, the results are an undeniable victory for those parties and candidates that support the European project and want to see the European Union delivering policy responses to their everyday concerns," he said.
Socialist leader Martin Schulz said his group's defeat would be analysed.
"It's a sad evening for social democracy in Europe. We are particularly disappointed, [it is] a bitter evening for us," he said.
German Chancellor Angela Merkel praised the EPP's performance, saying: "This result shows that the core of society in Europe has become stronger."
Vice-president of the European Commission Margot Wallstrom said the low turnout was a "bad result".
Green gains
Fringe groups appear to have benefited, with far-right and anti-immigrant parties picking up seats in the Netherlands, Austria, Denmark, Slovakia and Hungary. The British National Party won two seats - its first ever in a nationwide election.
"The political parties in power have not taken this election seriously enough. Let this be their wake-up call"
Greens also made gains - the Green-European Freedom Alliance bloc has so far taken 50 seats, compared with 43 in the last assembly.
Sweden's Pirate Party, which wants to legalise internet file sharing, won 7% of the national vote and one of the country's 18 seats in the European Parliament.
Several governments battling the economic downturn are facing a heavy defeat, says the BBC's Oana Lungescu in Brussels.
However, governing parties in France and Germany appear to have done relatively well despite the crisis.
Angela Merkel described the increase in the vote of her Christian Democrats over the Social Democrats as "sensational" and said it boded well for her chances in the nation's general election in September.
In results so far:
Voters have been choosing representatives mainly from their own national parties, many of which then join EU-wide groupings with similarly-minded parties from other countries.
The centre-right EPP retains its place as the largest grouping over the past five years, securing an estimated 264 of the 736 seats (the overall number of seats in the assembly has been reduced from 785). The socialists are on 183, while the liberal ALDE has an estimated 84.
Provisional figures released by the EU suggested turnout was at an all-time low in some countries, including France, where it dropped to 40.5%.
Lowest turnout was seen in Slovakia (19.6%) and Lithuania (20.9%), while the highest figures came from Luxembourg (91%) and and Belgium (85.9%) - both countries where voting is compulsory.
Overall turnout has fallen at each European election in the last 30 years, from a high of nearly 62% in 1979.
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