He won the 2018 Emirates Australian Open and the 2021 WGC-FedEx St. Jude Invitational for his first PGA Tour career victory.

Ancer was born in McAllen, Texas; raised partially in Reynosa, Mexico; and has dual American and Mexican citizenship.

[3][4] During his one year competing at Odessa, Ancer was a first-team All-American and finished in a tie for second in the Junior College National Golf Championship.

[5] He played on the Web.com Tour in 2015, where he finished runner-up at the Brasil Champions in March and won the Nova Scotia Open in July.

Ancer had a good start to the 2018–19 season with top-5 finishes in the CIMB Classic and the Shriners Hospitals for Children Open, results that lifted him into the world top-100 for the first time.

[12] In late July/early August he played in the 2020 Tokyo Olympics, finishing tied for 14th place with Norway's Viktor Hovland after scoring 12-under-par for the four rounds of the Men's Tournament.

[13] The following week he obtained his first career victory in a PGA Tour event after winning the 2021 WGC-FedEx St. Jude Invitational after two sudden-death playoff holes against Hideki Matsuyama and Sam Burns.

Ancer joined LIV Golf in June 2022 following the U.S. Open, and was subsequently suspended from the PGA Tour.