"Having received medical treatment, Craig is now recovering well in hospital," the club said in a statement.
"No further comment will be made at this time and the club asks that Craig and his family's privacy be respected, as we all wish him a speedy recovery."
Levein watched Hearts beat Kilmarnock 1-0 in the league on Saturday to keep up their 100 percent start to the campaign after three matches.
He was appointed as Hearts manager on a three-year contract in August last year.
(Reporting by Hardik Vyas in Bengaluru, editing by Nick Mulvenney)
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