House Committee on Rules

The Rules Committee has two broad categories of jurisdiction: special orders for the consideration of legislation (known as “special rules” or “rules”) and original jurisdiction matters. A special rule provides the terms and conditions of debate on a measure or matter, consideration of which constitutes the bulk of the work of the Rules Committee. The Committee also considers original jurisdiction measures, which commonly represent changes to the standing rules of the House, or measures that contain special rules, such as the expedited procedures in trade legislation. (source)

http://rules.house.gov/

Chairman:
Rep. Pete Sessions [R-TX32]
Vice Chairman:
Rep. Virginia Foxx [R-NC5]
Ranking Member:
Rep. Louise Slaughter [D-NY25]
Republicans:
9
Democrats:
4

The chairman is always selected from the majority party and the ranking member is the most senior member of the minority party. The majority party ensures it has a majority on every committee.

Committee Members

Chairman
Pete Sessions
TX-32
Republican
Vice Chairman
Virginia Foxx
NC-5
Republican
Ranking Member
Louise Slaughter
NY-25
Democrat
Michael Burgess
TX-26
Republican
Bradley Byrne
AL-1
Republican
Tom Cole
OK-4
Republican
Doug Collins
GA-9
Republican
Alcee Hastings
FL-20
Democrat
James “Jim” McGovern
MA-2
Democrat
Dan Newhouse
WA-4
Republican
Jared Polis
CO-2
Democrat
Steve Stivers
OH-15
Republican
Rob Woodall
GA-7
Republican

There are 118 bills referred to this committee. Below find the top 100: