The birds, who were heavily culled in a controversial manner in 2011, were again creating "a bloody mess" which encroached beyond the lake and its edge onto the grassed areas.
Mr Caffell said the muck left behind was such that some people now chose not to visit Henley Lake for recreation.
Councillor David Holmes said the mess was "worse than ever."
He had talked with Greater Wellington Regional Council staff and had been told there was only one time during the year that culls should be done, in November.
"Sadly we may have to wait until then before doing anything about them," Mr Holmes said.
Parks and Facilities Grant Hathaway is to make submissions to the regional council under its pest plan to get regional resources allocated to the problem.
He will frame options for dealing with it.
In 2011 a joint cull carried out by the council and Fish and Game ran headlong into criticism.
Witnesses described the cull as being horrendous and cruel with Canada geese not only shot but chased, bludgeoned and having their necks wrung.
About 200 of the 300 Canada geese then inhabiting the lake had been killed.