MSPs voted unanimously to back the general principles of the Control of Dogs Bill during decision time on 10 February 2010.
Earlier they debated the bill which would introduce "dog Asbos"
SNP MSP Christine Grahame, who brought forward the bill, told the chamber that the legislation would bring in fines for irresponsible owners and other measures, such as a requirement on such owners to keep their pets on a lead.
Ms Grahame stressed the focus of the Bill was on "deed" not "breed" and was primarily aimed at owners' behaviour.
The Communities Committee convenor, Labour MSP Duncan McNeil said the committee backed the legislation, which is at the first stage of its parliamentary scrutiny.
Justice Secretary Kenny MacAskill also welcomed the bill saying that under the legislation dog control notices would only be given to owners whose dogs were out of control.
Some MSPs did express concern about the financial burden the measures would place on local authorities.