"This election is about the future of Northern Ireland and its political institutions … That is why it will be vital for the campaign to be conducted respectfully and in ways that do not simply exacerbate tensions and division," Brokenshire said.
On Monday, Brokenshire announced the Northern Ireland Assembly would be dissolved on January 26 and a snap election would be held on March 2.
If the leading parties fail to reform an executive within three weeks of the election, another vote must be held or the country could face returning to direct rule by Westminster.
The current political crisis, sparked last week by the resignation of Deputy First Minister Martin McGuinness, has highlighted tensions between his Sinn Fein party and the ruling Democratic Unionist Party (DUP).
The DUP has accused Sinn Fein of prioritizing politics over stability and budget matters, while Sinn Fein claims the DUP is failing to uphold equal rights commitments under the 1998 Belfast peace accord.