A man accused of murdering two people on the NSW-Victorian border has appeared in court.

Daniel Poynton, 21, was charged over the murders of Jamie Edwards and mother-of-four Joelene Joyce, both 36, who were found shot dead on Wednesday on a road outside the small town of Moama in southern NSW.

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He was arrested on an outstanding traffic warrant in Moama and was charged with two counts of murder on Friday night.

Police set up a strike force comprising homicide, local and regional detectives, ballistics experts and forensic specialists to investigate the killings.

In a brief appearance at Deniliqun Local Court on Saturday, Poynton did not apply for bail.

He is expected to appear in Deniliquin Local Court via video-link on Tuesday.