Her children Sajeeb Wazed Joy and Saima Wazed Hossain accompanied her on the tour on Monday.
Hasina crossed the bridge to Zajira in Shariatpur from Mawa in Munshiganj earlier on Jun 25 after inaugurating it.
The journey on Monday was three hours long. Tungipara was bedecked to mark the prime minister's visit.
On the way, Hasina, Joy and Saima stopped in the Zajira service point area of the bridge. Joy posted a photo with his mother and sister on Facebook.
Security was tightened in the area over the prime minister's visit.