More than 100 members of the Shell to Sea group took part in another protest march near the Corrib Gas terminal this morning.
Workers were again able to enter the site without hindrance. Convoys of haulage trucks also entered the site without obstruction.
The group says it will be continuing with its early morning protests at the terminal site.
Shell says work on building the €200 million terminal will get under way next year.
Afterwards, Shell to Sea and local Independent TD Gerry Cowley condemned the threats made against the Minister for Communications, Marine and Natural Resources, Noel Dempsey.
Dr Mark Garavan, a spokesperson for the Shell to Sea campaign, said it totally condemned any such calls and had nothing to do with them.
He said the group would repudiate any threats to the minister and said they were a disgrace and a distraction.
Gardaí are launching an investigation into phone calls which were made to Mr Dempsey's office.
The investigation comes following an interview on RTÉ Radio in which Mr Dempsey said Gerry Adams and Ian Paisley appeared more reasonable than members of the Shell to Sea campaign.
Two phone calls made to the minister's office, just after the broadcast, made what staff described as 'explicit death threats' to the minister.