Her management says the Dangerous Woman tour has been suspended "until we can further assess the situation and pay our proper respects to those lost".
"The London O2 shows this week have been cancelled as well as all shows thru June 5 in Switzerland," a statement said.
"We ask at this time that we all continue to support the city of Manchester and all those families affected by this cowardice and senseless act of violence.
"Our way of life has once again been threatened but we will overcome this together. Thank you."
It is unclear whether the star will fulfil the remaining dates on the European leg of her world tour, due to start in Paris on 7 June, then visiting Portugal, Spain and Italy before heading to Brazil, Japan and Thailand.
Grande, 23, said she was emotionally "broken" by the terror attack after her show at the Manchester Arena, tweeting: "from the bottom of my heart, i am so so sorry. i don't have words."
The singer is believed to have flown back home to Florida on Tuesday.
Sky News has discovered suicide bomber Salman Abedi, who targeted the show, had links to an Islamic State cell which operated in Manchester, and knew one of the terror group's most prolific recruiters.
His father and brother have both been arrested in Libya.
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