The honchos over at ABC News have made the decision to take Amy Robach and T.J. Holmes off the air ... calling the couple's relationship a distraction with next steps to be sorted out by execs.

Sources at ABC tell TMZ ... ABC News' President, Kim Godwin, made the announcement during an editorial call Monday morning -- calling the situation an "internal and external distraction."

Kim also said the decision wasn't easy and not a violation of company policy, she added, "And so, I want to say that while that relationship is not a violation of company policy, I have really taken the last few days to think about and work through what I think is best for the ABC News organization."

She continued, "This is something I'm not going to talk, we're not going to talk about on this call until there is more to be said. I'm asking that we stop the whispering in the hallways. You know, we can't operate with gossip, and speculation and rumors. We need to stay focused on the work."

Adding, "If you think there is something that management needs to know, you can always call HR or, as we've said, talk to a manager that you trust. If you think there is something that we need to know."

The decision comes less than a week after the public found out the coworkers were dating ... Daily Mail published a set of flirty photos of the two spending time throughout NYC, and broke the news they'd be taken off the air.

While neither Amy or T.J. said much about the relationship on air, they seemingly joked about all the attention it generated during Friday's broadcast when T.J. said he just wanted the week to keep going and going ... Amy said she was ready for the weekend.

TMZ broke the story, sources connected to Amy and T.J. told us the added attention to their lives wasn't going to make them pump the brakes on their relationship at all. The two were in a consensual relationship, and both had an equal position on 'GMA3.'

Stephanie Ramos and Gio Benitez will replace the two on Monday, it's unclear if they'll fill the whole week.