The New Zealand-based Coalition for Democracy in Fiji has laid a complaint with police here, saying there were reasonable grounds to believe that Lt Col Mara had committed an act of torture in Fiji.
Police say they are considering the complaint.
Lt Col Mara said he was surprised by the allegations and denied torture had taken place under his command.
He said he was prepared to answer any questions from New Zealand police and the torture allegations were "false and mischievous'', he told the broadcaster.
He said he had never been involved directly or indirectly involved in torture. Neither were the nearly 500 soldiers under his command.
"Most of the human rights abuses that are happening in Fiji right up till today have been conducted by a certain group of soldiers who are directly under Bainimarama.''
Lt Col Mara today also met with Green MP Keith Locke.
Mr Locke said he agreed with Lt Col Mara that effective action against the regime would be stopping Fijian soldiers taking part in UN peacekeeping operations, which "only put money into the army coffers''.
- NZPA