However, it will be possible to buy physical tickets at the SSE Arena in Belfast (formerly the Odyssey) and 3Arena in Dublin box offices.
The decision on a paperless delivery option is in an attempt to reduce reselling.
In an email today to agents seen by the Irish Times, Ticketmaster said: "This delivery method cannot be accommodated in ticket outlets. As a result, the capacity available to sell at outlets would be greatly reduced.
"In the interest of public safety, your safety and that of your nearby businesses, it has been decided that it would be unwise to have the public queue in the streets for this reduced number of tickets.”
Ticketmaster went on to state that it remains “committed to our outlet network and I trust you understand the reasons for this decision”, it is reported.
The world's biggest band will play the Belfast venue on November 18 and 19 before four nights at Dublin's 3Arena on November 23, 24, 27 and 28.
Tickets for the shows go on sale at 9am next Monday.
They are limited to two per person and are priced from £30 to £165 for Belfast and from 30 euro (£21) to 185 euro (£134) in Dublin, before added charges.
"It is the first time the band will perform songs from their recent album Songs of Innocence to a home crowd," a U2 spokeswoman said.
The album released last year charts the group's earliest experiences growing up in Dublin influenced by 70s rock, punk and early 80s electronica.
Over the weekend, the band said they were doing everything in their power to take the world tour to Ireland - with The Edge saying not playing to a home crowd would be a "huge disappointment".
The Innocence + Experience tour is only suitable for particular types of venue, the rock stars claimed, and fans were concerned its unique set would not fit in any indoor arena south of the Irish border.
In Turin on Saturday, The Edge told the Press Association: "This show is designed for a type of venue and unfortunately there isn't one, certainly in the south. I think there might be one in the Belfast area, so we're looking at that as well.
"But you can't invent a venue. It's either there or it isn't. So, we're doing a lot of head-scratching right now to see if we can figure out something."
In a statement on Tuesday night, The Edge said: "Finding venues to take this show is actually quite tricky and we're grateful to our overworked crew who finally cracked the reconfiguring to fit these venues."
The band has just kicked off the European leg of their world tour and will be playing a string of dates at The O2 in London and dates in Glasgow before playing Paris in November.
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