Rajdhani express are premium category trains by the Indian Railways that redefines luxury travelling in India. It is a fully air-conditioned train which connects country capital (Delhi) with state capitals. That is why they are called 'Rajdhani' which translates to 'Capital' in English. These train runs at very high speed and therefore it usually takes least time to reach destination compared to other trains on the same route. Mumbai rajdhani is the fastest rajdhani train which attains a maximum speed of 140 kmph on some stretch. Rajdhani Express offers catering facilities inside the train the fare of which is included in ticket fare. Rajdhani trains have 3 classes - First AC (1A), AC II-tier (2A) and AC III-tier (3A) only and they are coupled with LHB coaches that have higher safety features. The ticket fare for Rajdhani is maximum amongst all trains on the same route and has dynamic fare (Flexi Fare) system. Waitlisted passengers are strictly not allowed inside this train. Rajdhani train coaches are usually painted in red with a grey colored strip outside. 1 rajdhani train runs from Lucknow to Muzaffarpur - DBRG RAJDHANI (20504).

Lucknow to Muzaffarpur DBRG RAJDHANI (20504) departs from Lucknow station (LKO) at 18:50 and arrives Muzaffarpur Jn station (MFP) at 04:05. This train has 5 stoppages. Lucknow to Muzaffarpur rajdhani fare is Rs.2685 in First AC, Rs.1535 in Second AC and Rs.1090 in Third AC for this train which includes meal charges also.

The concept of Garib Rath started with the vision to provide air conditioned berths at a comparatively low price for the people who could not afford to travel in AC coaches. Garib-rath phrase translates to poor man's chariot in English. The fare in this train is almost two-thirds of regular third ac fare. Usually Garib Rath have Third AC (3A) class only excepting some 1-2 trains which also have Chair Car (CC) class. The compartments of these train coaches have 9 berths making an extra space for side middle berth which is not there in any other train in India. In case passengers want to have bedrolls they need to pay separately for it. Some garib-raths run as fast as rajdhani, but they have lesser priority for track clearance compared to them. These trains are painted green with a yellow colored strip along the window panes. 2 garib-rath trains run from Lucknow to Muzaffarpur - MFP GARIB RATH (12212) and SHC GARIB RATH (12204).

Lucknow to Muzaffarpur MFP GARIB RATH (12212) departs from Lucknow station (LKO) at 05:25 and arrives Muzaffarpur Jn station (MFP) at 18:10. This train has 9 stoppages. Lucknow to Muzaffarpur garib-rath fare is Rs.680 in Third AC for this train.

Lucknow to Muzaffarpur SHC GARIB RATH (12204) departs from Lucknow station (LKO) at 18:40 and arrives Muzaffarpur Jn station (MFP) at 05:20. This train has 6 stoppages. Lucknow to Muzaffarpur garib-rath fare is Rs.675 in Third AC for this train.

Sampark Kranti is a series of express trains in India that connects different states of India to the national capital - New Delhi. Sampark in Hindi means connectivity while Kranti is also a word in Hindi language meaning revolution. Thus these trains have revolutionized the state connectivity with center. These trains have a combination of all the classes - AC, Sleeper and Unreserved coaches. Sampark Kranti trains are for long distance journeys. These trains are named after states and Sampark Kranti train for a particular state has most of the stoppages in that state only. 1 sampark-kranti train runs from Lucknow to Muzaffarpur - BIHAR S KRANTI (12566).

Lucknow to Muzaffarpur BIHAR S KRANTI (12566) departs from Badshahnagar station (BNZ) at 20:33 and arrives Muzaffarpur Jn station (MFP) at 06:30. Lucknow to Muzaffarpur sampark-kranti fare is Rs.2180 in First AC, Rs.1310 in Second AC, Rs.935 in Third AC and Rs.355 in Sleeper for this train.

Humsafar trains are long distance superfast trains that traverses overnight journeys. This is a new concept by the Indian Railways. Some Humsafar trains also run for more than 24 hours. Keeping in mind the middle class travellers, Humsafar was launched last year by the Former Railway Minister Mr. Suresh Prabhu. It has only Third AC class coach and have optional meal service. This train follows dynamic pricing meaning fare increases as the seat availability decreases. However, these trains hold lesser priority than Rajdhani and Shatabdi trains. Humsafar trains are equipped with modern day amenities and enhanced safety features. There are CCTV cameras fitted in every coach of Humsafar trains and there are charging points for each berth. One can also see current running speed of train on the LEDs fitted above doors. These trains are characterized by beautiful graffiti paint with vibrant sky blue color on outer surface of coaches. 4 humsafar trains run from Lucknow to Muzaffarpur - ASR JYG SPL (04652), CHAMPARAN HMSFR (15706), NDLS BJU SPL (02564) and NDLS DBG SF SPL (02570).

Lucknow to Muzaffarpur ASR JYG SPL (04652) departs from Lucknow station (LKO) at 02:40 and arrives Muzaffarpur Jn station (MFP) at 14:45. This train has 3 stoppages.

Lucknow to Muzaffarpur CHAMPARAN HMSFR (15706) departs from Lucknow station (LKO) at 23:20 and arrives Muzaffarpur Jn station (MFP) at 12:55. This train has 11 stoppages. Lucknow to Muzaffarpur humsafar fare is Rs.1120 in Third AC, Rs.415 in Sleeper and Rs.245 in Second Seater for this train.

Lucknow to Muzaffarpur NDLS BJU SPL (02564) departs from Aishbagh station (ASH) at 01:35 and arrives Muzaffarpur Jn station (MFP) at 12:45.

Lucknow to Muzaffarpur NDLS DBG SF SPL (02570) departs from Aishbagh station (ASH) at 19:50 and arrives Muzaffarpur Jn station (MFP) at 06:50.