* Britain joins boycott over Tymoshenko
* Boycott could harm Ukraine's efforts to boost image
* Ukraine denies racism charges, says it is democratic
KIEV, June 8 (Reuters) - Ukraine's hopes that the Euro 2012 soccer finals will speed its integration with Europe's democracies were fading on Friday because of a growing boycott over its treatment of jailed opposition leader Yulia Tymoshenko.
Britain joined the unofficial boycott on Thursday by saying government ministers would not attend the first batch of matches in the former Soviet republic, which is co-hosting the tournament with Poland, because of human rights concerns.
Germany and France are among other countries to have announced similar moves and European Commission President Jose Manuel Barroso said he had no plans to attend. A May summit was scrapped in Ukraine when nine European leaders refused to come.
President Viktor Yanukovich still hopes the tournament, starting on Friday, will show the world how far Ukraine has come since it broke free of the Soviet Union in 1991 but the risk of it backfiring after a deluge of bad publicity is increasing.
"Europe 2012 has provided a unique opportunity to present our country to the world and to achieve European standards, not only in organising the tournament but in the life of our citizens," said Deputy Prime Minister Borys Kolesnikov.
"If Ukraine does not cope well with the organisation of the tournament and show it's a hospitable host, it will reflect on its reputation," said Kolesnikov, who was in charge of preparations for the finals.
The month-long tournament was starting in Poland on Friday and the final will be held in the Ukrainian capital, Kiev, on July 1.
Despite opposition by its former Soviet masters in Moscow, the country of 46 million people, sandwiched between Russia and Western Europe, hopes eventually to join the 27-member European Union.
But European leaders have been increasingly upset by the treatment of Yanukovich's rival Tymoshenko, a former premier sentenced to seven years in prison last October for abuse of office after a trial the West says was politically motivated.
She alleged from jail in the city of Kharkiv in late April that she had been physically manhandled by prison guards and is now being treated for chronic back problems in the same city, a Euro 2012 venue. The prison authorities deny she was assaulted.
"No ministers will be attending group games at Euro 2012," a British Foreign Office spokesman said in London, which will soon host the Olympic Games.
"We are keeping attendance at later stages of the tournament under review in the light of ministers' busy schedules ahead of the Olympics and widespread concerns about selective justice and the rule of law in Ukraine."
Prince William and Prince Harry had never planned to go, a spokesman said, although both are sport lovers. The Daily Mirror newspaper expressed concern the boycott would whip up anti-British sentiment and put British fans in danger.
German Chancellor Angela Merkel described Ukraine last month as a dictatorship where people were suffering under repression.
Barroso's spokeswoman said in April that he had no intention of going to Ukraine "the way things stand now" and EU Justice Commissioner Viviane Reding was also staying away.
Political analyst Volodymyr Fesenko of the Penta think-tank in Kiev accused European politicians of grandstanding.
"Ukraine is becoming one of the themes that interest European opinion and some politicians want to score points by bringing up Tymoshenko," he said.
Foreign Ministry spokesman Oleh Voloshyn said this week that Ukraine's leaders would not be influenced by the boycott.
"Coming to a match or not will not change anything in the Tymoshenko case and will only give the tournament a negative image and create troubles that could be avoided," he said.
Ukraine has said concerns about racism - particularly in the British media following a BBC documentary that showed racist violence in a Ukrainian soccer stadium - are exaggerated.
"There is no racism in Ukraine. Many coloured footballers play in our teams. Tens of thousands of students from Africa study here and no one has ever complained about being badly treated," the government press office quoted Prime Minister Mykola Azarov as saying.
He added: "Ukraine is an extremely tolerant and democratic country."
Racism has also caused concern in co-host Poland.
Dutch players said they heard monkey chants from the crowd at a training session in Krakow, a spokeswoman for the Dutch national team said on Friday. (Additional reporting by Pavel Polityuk and Richard Balmforth in Kiev, and by Matt Falloon in London; Editing by Jon Boyle)