Mr Stringer, who was the campaign manager in East Coast Bays, alleges that Mr Craig committed a number of "serious offences, illegal practices and corrupt practices" under the Electoral Act.
He alleged Mr Craig deliberately omitted invoices and under-reported the costs of publicity material.
Mr Stringer also accused Mr Craig of spending more than the electoral cap in several electorates - in one case by $2000 - and then shuffling the spending into other electorates in his election returns to conceal it.
"He has taken greater amounts from electorates which pushed them over the electoral cap of $25,700 ... and allocated lesser costs to other electorates, thereby misleading the Electoral Commission."
Mr Craig dismissed the allegations yesterday, saying it was a continuation of a smear campaign by Mr Stringer, blogger Cameron Slater and lawyer Jordan Williams.
"The claims are not true, and I'd be very happy to talk to the Electoral Commission and answer any questions they have."
Mr Craig is already seeking damages of $600,000 from Mr Stringer as part of a defamation claim.