The Captain America star read Even Superheroes Have Bad Days by Shelley Becker.
"Watching CBeebies even though the wee one is in bed...wonder why?!" tweeted Fiona Moore-McGrath.
And Lisa Prosser wrote: "Of course only watching this for my daughter... #HubbaHubba."
The actor appeared on the BBC children's TV channel on Wednesday - six weeks after an appearance by fellow actor Tom Hardy.
Many other mums - as well as those without children - took to Twitter to give their approval.
When Hollywood heart-throb Chris Evans read a bedtime story on CBeebies, the mums seemed to enjoy it more than the toddlers it was aimed it.