* Czech PMI ticks up to 41.9, a 9-month high [
]* Polish PMI up to 43.0, 8-month high [
]* Hungarian PMI, different method, up to 45.8 [
]* Region's currencies rise after PMI data
* Analysts say recovery will be slow
By Michael Winfrey
PRAGUE, July 1 (Reuters) - Manufacturing in the European Union's biggest eastern nations crept closer to recovery in June, but PMI data still reflected overall declines due to a continuing lack of demand from their main market, the euro zone.
Growing investor optimism has driven currencies and equities to near their highest levels since the worst of the economic crisis, but analysts say a string of worse-than-expected GDP and output data indicate the pain in central Europe is far from over.
Markit's Czech Purchasing Managers' Index (PMI) inched up to a nine-month high of 41.9 from 40.5 in May and a record low in January. Its Polish index was up for the second straight month to 43.0 from 42.55 in June, its highest level since October.
Both were still well below the neutral level of 50, signalling that a the decline in manufacturing -- which now extends to a year for the Czech Republic -- was still severe, even though it was losing pace.
Markit economist Trevor Balchin said the Czech data led to the best quarterly average since the third quarter of last year, and appeared to back the Czech central bank's decision to hold interest rates at a record low of 1.5 percent last week.
"However, the PMI data remain historically weak and still point to a sharp overall rate of contraction," he said.
For the Poles, the pace of contraction was the slowest seen since the near collapse of global financial markets last year.
"That said, the PMI gained less ground in the second quarter than in the first, suggesting that any recovery will be slow and justifying the latest cut in interest rates," Balchin said.
The Hungarian PMI -- calculated under different methodology than the Markit data -- ticked higher to 45.8 in June, from a revised 45.4 in May.
The region's currencies rose after the data, mainly helped by improved investor sentiment towards more risky assets.
The Polish zloty <EURPLN=> was up 1.04 percent at 4.414. The Czech crown <EURCZK=> rose 0.77 percent to 25.816, and the Hungarian forint <EURHUF=> gained 0.8 percent to 270.15.
NEW ORDERS FLAT
The disintegration of demand in the euro zone has driven up unemployment in central Europe. Many firms have mothballed production lines and laid off tens of thousands of workers or put them on short time.
Earlier this week, Czech truckmaker Tatra said it would cut another 500 jobs, on top of 1,300 already fired, to confront a large loss due to an much smaller order book.
Analysts cast doubt on the link between companies' optimism and actual data, saying Czech industry data, which showed a worse-than-expected 21.7 percent drop in May, did not reflect the improving PMI numbers, which are based on surveys.
The June PMI output figure jumped for the Czech Republic to 44.1 from 41.9. The May index figure had risen from 39.
David Marek, chief economist at Patria Finance, said one reason could be that the May output drop could be the last bad figure in the series, and June and July could show improvement.
"It seems that the worst is over for the economy, and output can fall, but not as quickly as in the first and second quarters. But it's clear that second quarter GDP will be another awful figure," he said.
"What's most important for the Czech economy is demand abroad. If we see an improvement in Germany, France, and other euro zone countries, the Czech situation can improve."
For the Poles output was also up in June to 43.1, from 42.7 the previous month. Hungary's output was up to 45.0, although new orders fell by 0.3 percentage points to 45.1.
Analysts were cautiously optimistic but were careful not to overstate the gradually improving figures. "It certainly says that there is a recovery going on but ... it's going to be slow in the near term," said Raffaella Tenconi, chief economist at Wood & Co. (Reporting by Michael Winfrey; editing by David Stamp)