Around 45 million registered voters will have the chance to cast their ballots in a slew of elections across the UK on “Super Thursday”.
Thirty-three of the council’s 69 council places are up for grabs and there are some familiar names defending their seats.
It was a quiet start on the polling front.
A trickle of voters made their way into polling stations across Huddersfield.
But the stations are open from 7am this morning and will stay open until 10pm tonight.
In addition to the council places up for grabs, voters in Kirklees are also voting to elect the next West Yorkshire Police and Crime Commissioner.
Counting of the thousands of votes will not take place in Kirklees until tomorrow morning.
The results are likely to be announced before lunchtime on Friday.
Elsewhere to add to the complexity, four different voting systems will be in use.
What are people voting on and where?
The full complement of 129 Members of the Scottish Parliament (MSPs) are being elected for a five-year term.
Of those, 73 are elected by first-past-the-post (FPTP) for each of the constituencies and another 56 are elected from party lists according to the strength of each party in a separate vote - adjusted against the number of FPTP seats won - to represent the eight electoral regions.
First results are expected around 2am on Friday with the final ones expected around 8am, but they could be much later if there are delays at counts.
The full complement of 60 Assembly Members (AMs) are being elected for a five-year term.
Of those, 40 are elected by first-past-the-post for each of the constituencies and another 20 are elected from party lists according to the strength of each party in a separate vote, adjusted against the number of FPTP seats won, to represent the five electoral regions.
First results are expected around 1am on Friday with the final ones expected around 7am, but they could be much later if there are delays at counts.
Also, Police and Crime Commissioners (PPCs) for each of four force areas - Gwent, Dyfed-Powys, North Wales, South Wales - are being elected using the Supplementary Vote system.
Votes for the assembly polls will be counted first, with PCC counts taking place for the four police areas on Sunday.
The full complement of 108 Members of the Legislative Assembly are being elected for a five-year term.
There are six representing each of the 18 constituencies, elected using the Single Transferable Vote system.
Counting will start during daytime on Friday with the first declarations expected at about 1pm and the final results expected late on Saturday.
There are 2,743 seats up for grabs on 124 councils using the first-past-the-post system.
As usual, Sunderland will be among the first to declare, from around 11pm on Thursday. Final results are not expected until about 5pm on Sunday.
PCCs for each of 36 force areas are elected using the Supplementary Vote system.
Votes for most other polls will be counted first, with PCC counts taking place in the day on Friday.