Party organisers claim they have already had a good response after delivering more than 1,000 leaflets.
But councillors and Muslim leaders today condemned the move and said there is no place for the WNP in Preston.
Leaflets have been posted through letterboxes on streets around Waterloo Road and Tulketh Brow. They are also planning to take their campaign for support to the streets of Fishwick.
The party's website says the group opposes multi-racial societies and calls for the end of all non-European immigration.
WNP spokesman Mark Cotterill said the leaflet drop was prompted after a Tulketh man contacted the party's website.
He said the 1,000 leaflets distributed had prompted a few phone calls but refused to elaborate on the number of party members in Lancashire.
He said: "We don't give numbers out at this present time. We are not a large party. It is a new party which is only a year old."
But local councillors and religious leaders today said they were confident the WNP would have little success in the city.
Labour Coun Jean Al-Serraj, whose Tulketh ward includes Tulketh Brow, said: "If the White Nationalist Party
wants
an all white Britain, they are definitely a racist party.
"It is worrying to me that they are targeting the Tulketh area but I don't think they will get that much support. I truly do not believe the people of Tulketh are racist.
"I have never heard of any racist incident in the Tulketh ward in all the years I have lived here and that is 33 years."
Tory Coun Keith Sedgewick, who represents Ashton ward, said: "I don't think they would get much support in the Ashton ward unless they could make an issue about something.
"I think Preston is a fairly quiet and well balanced society. Communities live fairly harmoniously together in the city."
Labour Coun Harold Parker, who represents Fishwick ward, said: "I don't think there are many problems between different communities in Preston compared to other Lancashire authorities.
"There are odd incidents but no general unrest as in other towns in Lancashire. You can only judge things by the fact that what happens elsewhere does not happen here."
Ishwer Tailor is the president of Preston's Gujarat Hindu Society and was awarded an MBE for his services to race relations.
He said: "Preston has a fairly good record in race relations.
"However, we have to make sure that what has happened in other parts of Lancashire does not happen here.
"I am not surprised that the White Nationalist Party is targeting the city but I think people in Preston are sensible people.
"They have very good relations with each other between all the different faiths."
Last month, Preston's Muslim Burial and Welfare Society pulled out of its bid to create a Muslim cemetery on the former London Road athletics track.
The society pulled the plug on the project amid fears that a public inquiry could trigger rifts between Preston's communities.
County Coun Vali Patel, chairman of the society, said he had also feared that extremists might have been prompted to exploit a public inquiry to their own advantage.
Today, Coun Patel said he was disappointed that the White Nationalist Party had decided to target Preston.
He said: "I don't think they have a place in Preston. I am pretty certain that people will know better than to support them.
"Preston is totally different to East Lancashire towns where there have been racial tensions.
"Here in Preston, there are very good relations between communities."
WNP regional organiser Mr Cotterill, 42, from Blackburn, the White Nationalist Party's regional organiser in Lancashire, said: "Preston is an interesting area because it seems that it is the only major city in Lancashire where the British National Party does not seem to have done anything so it is probably a good area for us to get into."