can i apply for new C1D visa id my K1 visa was denied in 2011, will there be problem in my new C1D visa, i mean will it be approved or denied

Since  a C-1/D visa is dependent upon a finding of nonimmigrant intent, and you were previously denied for having applied for an immigrant visa, there is a good possibility that you will again be denied because of the rejection of your K-1 fiancé visa. You should of course tell the truth on all visa applications. If you decide to apply for a new C-1/Ds and are denied, you and your fiancée should think seriously about him or her directly applying for your immigration through marrying and applying for an I-130 petition and then building up the proof of the bona fides of your marital relationship. Due to the limitations of the Lawyers.com Forums, Alan Lee, Esq.'s (the "Firm") participation in responding to questions posted herein does not constitute legal advice, nor legal representation of the person or entity posting a question. No Attorney/Client relationship is or shall be construed to be created hereby. The information provided herein by the Firm is general, and requires that the poster obtain specific legal advice from an attorney. The poster shall not rely upon the information provided herein as legal advice nor as the basis for making any decisions of legal consequence.