The new chapel was designed to accommodate 100 people rather than 80, with more room in an adjoining covered deck area, and would allow all of the congregation to see speakers during a service.
Hastings councillor and Hawke's Bay crematorium committee chairman Malcolm Dixon said the progress was pleasing.
"It is going to be a very attractive and practical building that will enable us to provide excellent service now and into the future."
The chapel was expected to open in June.
In January this year, a piece of history was discovered while demolishing the chapel - a 73-year-old pay slip inscribed with a message for the future on the back.
It listed the names of those working on the original building; a message saying World War II was continuing, and itemising rations available each week.
Dated March 1, 1944, the message said: "The 2nd World War is still on but Germany is getting bested. The invasion of Europe expected. German cities are smashed by aircraft. Sugar, tea, butter and meat are rationed: Sugar - three pound per month; tea - half a pound per month; butter - eight ounces per week; meat - one pound nine ounces a week."