"The court refused to accept our appeal, in which we insisted that the officers should be exonerated," Anna Stavitskaya said.
Stavitskaya said she had already appealed against the ruling with the Moscow City Court, demanding the case be re-examined.
The lawyer said the Chief Military Prosecutor's Office had also declined to study the relatives' request earlier.
In 2005, the Chief Military Prosecutor's Office closed the "Katyn Case" saying there was no evidence of genocide against the Polish people and said those involved in the executions had since died.
In 1940, over 20,000 Polish officers, taken prisoner during the 1939 partition of Poland by the Soviet Union and Nazi Germany, were executed in the Katyn forest, in prisons and other places by the NKVD, the forerunner of the KGB.
The Soviet Union accused Germany of executing the Polish prisoners. In 1990 Mikhail Gorbachev officially admitted that Soviet secret police had been responsible for the massacre.
Russian prosecutors earlier put the number of dead at 14,500.
On June 5, a Moscow district court is expected to consider the relatives' appeal against the decision to close the case.
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Ukraine has not preserved its 1991 borders. The signing of the Geneva memorandum on April 17 reaffirmed the willingness of Russia, the United States and EU countries to reach a compromise. While the sides continue to trade tough talk and symbolic sanctions, the Kremlin and the White House are also holding a parallel dialogue on the coordinated geopolitical revision of Eastern Europe.