The Ukip leader insisted it was “not too difficult” to feed a child in a way that was “not openly ostentatious”.
The comments, in his regular LBC radio phone-in, came after mother-of-three Louise Burns complained that the luxury Mayfair hotel asked her to put a napkin over her baby’s head.
Claridge’s has said it “embraces” breastfeeding, but requests that women are “discreet towards other guests”.
Setting out his views, Mr Farage said: “I am not particularly bothered about it, but I know a lot of people do feel very uncomfortable.
“This is just a matter of common sense, isn’t it? Given that some people feel very embarrassed by it, it isn’t too difficult to breastfeed a baby in a way that is not openly ostentatious.”
He argued it was “up to Claridge’s” what rules it wanted to operate.
Pressed on whether it would be right for a hotel to ask mothers to use the “ladies’ room” to feed, the MEP replied: “Or perhaps sit in the corner, or whatever it might be. That is up to Claridge’s.
“It’s not an issue I get terribly hung up about but I know particularly people of the older generation feel awkward and embarrassed by it.”
Mumsnet CEO Justine Roberts said: ``It’s bemusing that some people have a problem seeing mums breastfeeding. It is of course a natural, essential human process and those with an issue simply need to get over themselves — babies need to be fed when they’re hungry, and there’s nothing ostentatious about a mother responding to that need.”
Downing Street left no doubt that David Cameron disagreed with Farage’s comments, saying that it was “totally unacceptable’’ for mothers to be made to feel uncomfortable when feeding their babies in public.