Gareth Davies said the WRU is pleased by the positive outcome of detailed negotiations between the governing body and all four Regions in Wales.
The contracts are being sent to players or agents and confirmation of the names will be announced after players have signed the new deals.
He said: “I am delighted the WRU and the four Regions have made such positive progress towards introducing National Dual Contracts to Welsh rugby.
“A lot of extremely hard work has gone into reaching this landmark stage and we are now in the final part of this first and pivotal negotiation.
“With contracts being issued to a significant number of players it shows we are all determined to work together for the benefit of Welsh rugby.
“We have to work in unity and this is an example of all parties working together to achieve the best outcome for Welsh rugby.”