The Peregrine Falcon is a rare breeding species in Ukraine. The species declined dramatically (similar to almost everywhere else in Europe) during the second half of the 20th century and reached a low of only 15-20 pairs in the 1980s.
Since then the population has increased but the species is still rare. The current number of pairs is estimated somewhat differently by several authors but there is no doubt that the Peregrine has increased in the Ukraine, but it still needs full protection!
More information, including some population estimates can be found here:
Current status of the Peregrine Falcon population in Ukraine