The actor took part in a Greenpeace protest in the Arctic Barents Sea in July to oppose the search for new oil by Statoil which is majority-owned by the Norwegian Government.
Lawless didn't know whether she had been followed home, as Greenpeace claims some of its members were, but told the Weekend Herald she could see why the team "are creeped out".
"For crying out loud, if Statoil wants to know what I'm up to, they can follow me on Twitter or just read the Herald."
Lawless said if she was being followed "in my private life to things like parent teacher meetings or tailing me when I'm out with friends, that would just be sordid and stalkerish".
"I have so many questions, like since Statoil is state-owned, was the Norwegian Government, aware of it?"
Lawless said she knows the Greenpeace staff. "They are humble folk with a lot of integrity and the fact that they've become targets of corporate-sponsored espionage is ludicrous."
"I won't be put off by this and I'm sure that Greenpeace won't either."
The Herald emailed requests for comment to the companies this week. A director of Thompson & Clark said they were "bemused" by Greenpeace's legal claim. A request for comment about Lucy Lawless has been sent to the investigation and security firm.
Prime Minister Bill English has categorically dismissed any suggestion that the Government was in anyway involved or complicit and Energy and Resources Minister Judith Collins also said she had no knowledge of any alleged spying.
Thompson & Clark has provided information about Greenpeace to New Zealand Petroleum & Minerals, a division of the Ministry of Business Innovation and Employment, a spokesman for MBIE said.
This was said to be information relevant to the prosecution of three Greenpeace activists.
"Thompson & Clark were the security company on board the Amazon Warrior seismic survey vessel [prospecting off the Wairarapa coast] and have provided evidence of the alleged offending at sea, " the spokesman said.
Apart from photos and videos of the alleged incident at sea, any information Thompson & Clark provided MBIE was specific to risks identified in safety and security plans, he said.
"For example, these may include pictures or locations of boat/trailers on ramps, in relation to potential interference with an offshore activity. We are not informed about how information is gathered but we expect that anything provided has been gathered lawfully."
In April, Norman and two other Greenpeace activists were prosecuted after jumping into the sea in front of the Amazon Warrior. The ship was conducting seismic sounding for Statoil and Chevron.
The group were charged under a 2013 amendment to the Crown Minerals Act put in place to stop protests at sea near oil exploration operations, and carries maximum penalties of 12 months' jail or a $50,000 fine.
The charges were laid by NZ Petroleum and Minerals, a division of the Ministry of Business, Innovation and Employment.
It was reported last month that the trio would be offered diversion, an avenue that would require them to admit to breaking the law.
At the time Norman accused the Government of "prosecuting climate activists and pandering to oil companies".