According to BBC, a statement quoted by state-affiliated FBC website, lists arrests in the Oromia and Amhara regions, which have recently seen massive demonstrations.
This is in addition to Monday's arrests of 1,000 people near the capital.
A six-month state of emergency has been declared in the face of a wave of unprecedented anti-government protests.
Under the emergency measures, people can be detained without an arrest warrant for the duration of the state of emergency. BBC reports.
The recent wave of demonstrations began in Oromia last November with people there protesting against a plan to expand Addis Ababa into their region but has since been dropped, however protests have continued.
The state of emergency was declared on 9 October a week after at least 55 people died in a stampede during an Oromo religious festival which turned into a protest.
Activists blamed the security forces for causing the panic, but the government said protesters in the crowd were responsible. BBC reports.
In last year's general election, every seat was won by either a member of the governing EPRDF coalition or one of the party's allies.
The government has recently proposed reforms to the electoral system so that opposition politicians have a better chance of being elected.