The couple said they were "floating with love and wonder" after their little girl's "protected and sound appearance".
The pair additionally shared a high contrast image of them holding Daisy's minuscule hand.
Perry uncovered she was pregnant in the music video for her single Never Worn White recently.
"We are floating with love and wonder from the sheltered and sound appearance of our girl," the couple said in an announcement delivered by means of Unicef, a foundation supporting impeded kids, for which both Perry and Bloom are diplomats.
"Yet, we know we're the fortunate ones and not every person can have a birthing experience as serene as our own might have been.
"Networks the world over are despite everything encountering a deficiency of medicinal services laborers and like clockwork a pregnant lady or infant kicks the bucket, generally from preventable causes.
"Since Covid-19, a lot more infant lives are in danger on account of a more prominent absence of admittance to water, cleanser, immunizations and medications that forestall sicknesses. As guardians to an infant, this breaks our hearts, as we identify with battling guardians now like never before."
The couple said they had set up a gift page to check Daisy's introduction to the world, with the cash going towards new mothers and their kids.
"We trust your heart can sprout with liberality," they included.
Prior this month Perry, whose new collection Smile is delivered on Friday, depicted being pregnant during a pandemic as a "passionate rollercoaster".
The artist declared her pregnancy in the video for Never Worn White, uncovering a child knock in the last casings of the four-minute clasp.
The tune's verses implied that she and Bloom wanted to stroll down the walkway soon, in the wake of getting drew in on Valentine's Day a year ago.
US artist Perry, who was recently hitched to Russell Brand, shot to popularity in 2008 with the single I Kissed A Girl, which arrived at number one in the UK.
Her hits from that point forward have included Roar, California Gurls, Firework and Never Really Over.
Sprout was recently hitched to Australian model Miranda Kerr, and they have a child, nine-year-old Flynn.
The British entertainer has featured in Pirates Of The Caribbean, The Lord of the Rings and The Hobbit.