Republican People's Party (CHP) deputy chairman Bulent Tezcan will present the demand at 1130 GMT, the party said in a statement.
The opposition has been particularly incensed by a last- minute move from the YSK to accept ballot documents in envelopes without an official stamp.
The "Yes" camp won Sunday's referendum with 51.41 percent of the vote but the aftermath has been shadowed by opposition claims of blatant vote-rigging and angry protests in parts of Istanbul.
"The nation's will emerged freely from the ballot box... This work has now finished. It's wrong to say something after the nation has spoken," he said.