Two of the multiplexes will be national, 40 regional and 19 local, with licences valid for 10 years.
The starting price for bids will be €300,000 for the national multiplexes, while that for the regional Bucharest multiplex will be €12,000 and a local multiplex, not serving a country, will be from €1,000.
The tender will be launched at the end of November, with the winners announced early in the New Year.
Separately, Mediafax reports that the public broadcaster TVR could launch two channels, focusing on education and the weather, in the transition to digital broadcasting.
ANCOM has already awarded licences for two national DTT multiplexes, with the first allocated to TVR.
The multiplex has capacity for 14 channels and the public broadcaster currently operates just five, namely TVR1, TVR2, TVR HD, TVR International and TVR News.