A Venezuelan mother has died while saving her daughter during the earthquakes that hit the country, according to footballer Héctor Bello and local media.

Bello wrote on his Instagram that "his precious love", named by Venezuelan news outlets as his wife Andrea, saved the life of their toddler during two powerful quakes.

"I'll tell her the story of how you saved her, my love - how you gave your own life for our daughter, how you were a brave woman who never abandoned her, even as you took your last breaths," Bello wrote in his post.

Rescuers are continuing to search through rubble to find survivors after twin quakes near the capital Caracas killed at least 589 people and injured 2,980.

In a series of posts, Bello said he travelled to Caracas where his daughter was in the hospital.

"My daughter and her aunt are doing well, they won't be discharged today - they're staying at the hospital. Thank you so much for supporting me through this immense pain," he posted on Friday overnight.

In a separate Instagram story, Bello wrote: "How do I explain to your daughter that you lost your life to save hers, and that I wasn't there to do anything? How do I explain it? Give me strength now."

A local Venezuelan footballer press and publicity organisation, Cumaná de Campeones, also posted about her death.

"We regret to report that the partner of footballer Héctor Bello "Kike" - originally from Cumana - was found dead in the rubble following the earthquake that struck the country."

"Their daughter, however, survived the collapse of the building where the entire family resided."

US Spanish language news outlet Univision also reported the death of Bello's wife.