The newlywed's daughter was reportedly born in Austin, Texas, where Pechenik's business is based, according to Page Six.
The New Girl star and She & Him singer began dating Pechenik last year after meeting on a film. In January, it was announced they were pregnant and engaged.
PHOTOS: Zooey Deschanel and husband Jacob Pechenik
Zooey Deschanel welcomes a daughter, marries movie producer Jacob Pechenik
Actress Zooey Deschanel, right, and producer Jacob Pechenik attend the after party for the premiere of the feature film "The Skeleton Twins" at the ArcLight Hollywood on Wednesday, Sept. 10, 2014 in Los Angeles. (Photo by Dan Steinberg/Invision/AP Images)
HOLLYWOOD, CA - SEPTEMBER 10: Actress Zooey Deschanel (R) and producer Jacob Pechenik attend 'The Skeleton Twins' Los Angeles premiere held at the ArcLight Hollywood on September 10, 2014 in Hollywood, California. (Photo by Tommaso Boddi/WireImage)
LOS ANGELES, CA - AUGUST 25: 66th ANNUAL PRIMETIME EMMY AWARDS -- Pictured: (l-r) Actress Zooey Deschanel and producer Jacob Pechenik arrive to the 66th Annual Primetime Emmy Awards held at the Nokia Theater on August 25, 2014. (Photo by Kevork Djansezian/NBC/NBC via Getty Images)
HOLLYWOOD, CA- SEPTEMBER 10: Actress Zooey Deschanel (R) and producer Jacob Pechenik attend 'The Skeleton Twins' Los Angeles premiere held at the ArcLight Hollywood on September 10, 2014 in Hollywood, California.(Photo by Jeffrey Mayer/WireImage)
EXCLUSIVE - Jacob Pechenik, left, and Zooey Deschanel pose in the green room at the 66th Primetime Emmy Awards at the Nokia Theatre L.A. Live on Monday, Aug. 25, 2014, in Los Angeles. (Photo by Danny Moloshok/Invision for the Television Academy/AP Images)
LOS ANGELES, CA - AUGUST 25: Zooey Deschanel and Jacob Pechenik attend the 66th annual Primetime Emmy Awards at Nokia Theatre L.A. Live on August 25, 2014 in Los Angeles, California. (Photo by Jason LaVeris/FilmMagic)