WASHINGTON — Russian government officials have barred two American senators critical of the Kremlin from visiting the country as part of a bipartisan congressional trip, according to the two lawmakers.

Senators Ron Johnson, Republican of Wisconsin, and Christopher S. Murphy, Democrat of Connecticut, both members of the Foreign Relations Committee, planned to visit Russia next week with Senator Mike Lee, Republican of Utah, to meet with government officials and American businesses in the country. But both Mr. Johnson and Mr. Murphy said they were denied visas.

“I had hoped direct dialogue with Russian parliamentarians could help set the stage for better future relations between our two nations,” Mr. Johnson said in a statement. “Unfortunately, Russian officials continue to play diplomatic games with this sincere effort. Regardless of this petty affront, I will continue to advocate a strong and resolute response to Russian aggression — and frank dialogue when possible.”

Mr. Murphy accused Russian officials of “further isolating their country by blocking the trip.”

“With the collapse of recent arms control agreements and significant domestic opposition to Vladimir Putin’s authoritarian rule, this is potentially a perilous moment for our two nations’ fragile relationship, and it’s a shame that Russia isn’t interested in dialogue,” he said.