In a statement, Swamy said she should support Kalam for the post of president.
"She should phone him up and persuade him to become her candidate. Sangma has lost all moral authority to be a non Congress candidate after apologising to (Congress chief) Sonia Gandhi (for raking up her foreign origin issue)," he said.
In a coordinated move, Tamil Nadu Chief Minister Jayalalithaa and her Odisha counterpart Navin Patnaik had on May 17 announced their joint support to Sangma.
Jayalalithaa had spoke to BJP leader L K Advani, Samajwadi chief Mulayam Singh Yadav and other non-Congress leaders, including Left parties, in support of Sangma.
The NCP leader is also doing rounds of several parties, seeking support for his Presidential bid.