The central bank has been in debate over its policy independence with the government, which has been trying to assert more influence over the RBI's interest rate setting process.
The government wants to create a rate-setting board with its appointed members to vote on such decisions.
The RBI has cut interest rates four times this year, with the latest move in September to boost growth as inflation hit a record low on tumbling commodity prices.
The unions have warned of longer strikes in the near future if the central bank does not meet its demands.