The infant was brought into Alinea on Saturday, and apparently had a crying fit.
Chef Achatz tweeted about his tiny guest, questioning whether he should consider banning babies there. He tweeted: "Tbl brings 8mo.Old. It cries. Diners mad. Tell ppl no kids? Subject diners 2crying? Ppl take infants 2 plays? Concerts? Hate saying no,but.."
As a father, Achatz said he can see both sides of the argument.
"We want to accept young children into the restaurant. I take my kids to nice restaurants. But we also have 20 other people that have paid money to come experience a certain thing," said Achatz.
Achatz also tweeted a picture of two fish heads and "Definitely not baby food."
Diners pay $250 each and often wait for months for a reservation at Alinea.