The assurance was given during a meeting between them in Delhi, an official relese said.
The air services would be expeditiously taken up under "regional air connectivity scheme" to bring Puducherry and Karaikal regions back on the air map once again.
Kiran Bedi has been camping in Delhi since Monday seeking speedy approval and clearance of various developmental projects for Puducherry by the Centre.
She also met the Union Textiles Minister Smriti Irani in Delhi today who assured the Lt Governor that she would visit Puducherry in September to galvanize handloom coir and handicraft sectors in Puducherry.
The Union Commerce and Industries Minister Nirmala Sitharaman assured the Lt Governor that the Vizag-Chennai Industrial Corridor would be extended through Puducherry to Tuticorin to revitalise the industrial sector in the Union Territory.