A 44-year-old woman is said to be in custody following the deaths of 38-year-old Kemchan Roopnarine and his 36-year-old wife Patricia Ali.
The woman, however, has denied all involvement in the accident.
She was arrested on Monday after police received information that a vehicle that she had brought in for repairs matched the description of the one which hit the couple.
According to police reports, at about 10 pm on Sunday, the couple were walking along Penal Rock Road, Penal, in the company of their two children, when they were hit by a white Nissan Tiida motor vehicle.
The adults were severely injured in the incident, and while the police and emergency health services were notified, they succumbed to their injuries.
The children were unhurt during the ordeal.
The funeral for the couple is expected to take place today.
Get the latest local and international news straight to your mobile phone for free: