The vehicles, which have stirred controversy after shots were taken from the compound of National Security Advisor Baba Kamara, were said to be moving towards the Northern Region on Wednesday when one of them crammed into a 207 Benz bus at Brewaniase in the Nkwanta South District of the Volta Region.
With its registration number concealed, the Mahindra 4X4 pick-up was not seriously damaged. Neither was the Benz bus with registration number AS 620 S.
Shots of the about 20 vehicles taken by Dr Edmund Ayo Ani, Managing Director of Marbles and Granite, had gone viral, forcing the police to pick him up at the behest of Mr Kamara.
Dr Ayo Ani has since been released.
But the branding of the vehicles in colours of the National Democratic Congress (NDC) have raised the issue of abuse of incumbency.
The Mahindra pick-up involved in the accident has since been towed away, sources say.