Leicester maintained top spot in League One with their eighth successive home win over struggling Hereford.
Steve Howard latched on to Matt Fryatt's cross from 12 yards to put the Foxes in front in the ninth minute.
City squandered a number of chances before they doubled their lead on 71 minutes when Andy King steered a 16-yard strike past keeper Craig Samson.
Hereford hit back eight minutes later when Karl Broadhurst headed a free-kick, but City hung on for the win.
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"We're a little bit disappointed as we didn't start great and obviously them getting the first goal was exactly what they wanted.
"We've had a little flurry in the last 15 or 20 minutes and could have maybe nicked a draw but I don't think that was what we really deserved.
"Leicester are a good side and they showed that today."
Leicester: Martin, Gilbert, Morrison, Hobbs, Berner (Mattock 42), Oakley, Davies, Andy King, Dyer (Adams 76), Fryatt (Dickov 46), Howard.
Subs Not Used: Cisak, Edworthy.
Booked: Howard, Adams.
Goals: Howard 9, Andy King 71.
Hereford: Samson, Rose, Gowling, Broadhurst, Taylor, Ainsworth, Smith, Diagouraga, Done, Guinan, Chadwick (Williams 55).
Subs Not Used: Veiga, Gwynne, Beckwith, Johnson.
Goals: Broadhurst 79.
Att: 22,920
Ref: A Haines (Yorkshire).
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