The new figures - accurate as of Saturday (April 4) - were released by Public Health England.
Among the figures include an increase of 53 cases in Leeds and 35 in Bradford.
The total number of cases in each authrority is as follows:
Barnsley - 158
Bradford - 170
Calderdale - 69
Doncaster - 117
East Riding - 78
Hull (Kingston upon Hull) - 28
Kirklees - 153
Leeds - 272
North East Lincolnshire - 36
North Lincolnshire - 43
North Yorkshire - 218
Rotherham - 158
Sheffield - 730
Wakefield - 128
York - 57
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