"His medical condition is improving. I thank well wishers and those praying for his fast recovery," Akhilesh tweeted.
The 75-year-old was admitted to the Medanta Hospital late Friday night after he complained of breathlessness and uneasiness.
Yadav has been advised rest and there is no need to panic, Samajwadi Party Spokesman Rajendra Chaudhary had said earlier on Saturday morning.
"Mulayam Singh Yadav is being examined in Medanta Hospital, Gurgaon under the supervision of Dr Naresh Trehan," he added.