The defeated Liberal candidate for Sydney lord mayor, Christine Forster, has called for changes to the operation of business voting laws in the city to make it less complicated for company directors to be enrolled.

Cr Forster was re-elected to City of Sydney council on Saturday night and was confident, as of Monday, that a second Liberal candidate - existing Ryde councillor Craig Chung - would also be elected to council.

But with about 17.7 per cent of the mayoral vote, she fell a distant second to the lord mayor, Clover Moore, who enjoyed about a 10 per cent swing to win 59 per cent of the mayoral vote as at Monday.

"Obviously I was hoping to do a lot better than that," said Cr Forster, first elected to council in 2012. "It looks like we will get Craig up - I will be very, very disappointed if we don't get Craig up. We've come a clear second although a distant second."