The story is about Dr Baldev Chaddha (Annu Kapoor), a well qualified fertility expert, runs a fertility clinic and a sperm bank in Daryaganj, Delhi, that guarantees a high quality and specialized sperm for the purpose. Unfortunately, he has more failed cases to his credit than successes. A healthy, high performing donor is the need of the hour. While searching for his 'Indian Alexander', Dr Chaddha bumps into Vicky Arora (Ayushmann Khurrana). Vicky, who is the only son and of no financial support to Dolly, a widow, who runs a small beauty parlor from home in Lajpat Nagar.

As luck would have it, a small brawl in the colony brings Dr Chaddha and Vicky, face to face, where Chaddha, concludes that Vicky could be the donor he has been looking for. From here on, Chaddha's days and nights are spent in convincing Vicky to become a donor until he finally gives in. Vicky finds his love interest in Ashima Roy (Yami Gautam), a pretty Bengali girl, who works in a Bank. But soon their hunky dory world comes crashing down because of Vicky's past as a donor. With a brief emotional roller coaster ride, Vicky Donor is a light-hearted take on the subject of sperm donation.