Voters in the two wards will go to the polls on Thursday May 17.
Anyone who is interested in standing as a candidate should telephone the elections office on 01524 582915 or email firstname.lastname@example.org.
The closing date for nominations is 4pm on Thursday April 19.
The vacancies have arisen following the death of Roger Sherlock in Skerton West and resignation of Lucy Atkinson and Sam Armstrong in the University and Scotforth Rural ward.
To vote in these elections, new applications to register need to be made by midnight on Monday April 30.
Registering is really easy to do - go online at www.gov.uk/register-to-vote. Completing the application takes no more than a few minutes.
New applications to vote by post must be made by 5pm on Tuesday May 1 to vote in the election. For details of how to apply for a postal vote contact the elections office on 01524 582905.
Last updated: 29 March 2018