The singer and husband Mario MC Souleye Treadway welcomed son Ever Imre on Christmas Day, and eight weeks on Morissette said that she is enjoying the 'new normal' of being a parent.
She wrote on her Facebook page: 'I am filled with gratitude and inspiration.
'I am so grateful for all the kind congratulations you have sent to me and Souleye. We are deeply touched by your kindnesses.
'Ever has cracked open a door in my heart that I had been dusting off for years in anticipation of this kind of opportunity to love.'