The name Amber Hill reputedly comes from the village standing on a seam of amber coloured gravel. Amber Hill was a plot of 30 acres allotted under the Holland Fen Enclosure Award to provide materials for repairing the roads of several parishes having rights of common on Holland Fen. It was formed a civil parish in 1880.
The village is one of eighteen parishes which, together with Boston, form the Borough of Boston. The local government has been arranged in this way since the reorganization of 1 April 1974, which resulted from the Local Government Act 1972. This parish forms part of the Swineshead and Holland Fen electoral ward.
Hitherto, the parish formed part of Boston Rural District, in the Parts of Holland. Holland was one of the three divisions (formally known as parts) of the traditional county of Lincolnshire. Since the Local Government Act of 1888, Holland had been, in most respects, a county in itself.
Lincolnshire is very low-lying and land had to be drained for agriculture to be successful. The larger drainage channels, many of which are parallel to each other, became boundaries between parishes. Many parishes are long and thin for this reason.
There is much fenland in Lincolnshire, particularly in the Boston and Horncastle areas. Fenlands tended to be extraparochial before the mid 1850s, and although many sections were identified with names and given the title "civil parish", little information has been found about them. Many appear to be abolished in 1906, but the parish which adopts them is not given in A Vision of Britain through Time. Note the WR category Lincolnshire Fenland Settlements which is an attempt to organize them into one list.
From 1889 until 1974 Lincolnshire was divided into three administrative counties: Parts of Holland, Parts of Kesteven and Parts of Lindsey. These formal names do not fit with modern grammatical usage, but that is what they were, nonetheless. In 1974 the northern section of Lindsey, along with the East Riding of Yorkshire, became the short-lived county of Humberside. In 1996 Humberside was abolished and the area previously in Lincolnshire was made into the two "unitary authorities" of North Lincolnshire and North East Lincolnshire. The remainder of Lincolnshire was divided into "non-metropolitan districts" or "district municipalities" in 1974. Towns, villages and parishes are all listed under Lincolnshire, but the present-day districts are also given so that places in this large county can more easily be located and linked to their wider neighbourhoods. See the WR placepage Lincolnshire, England and the smaller divisions for further explanation.