These are the basic fire related regulations of the federal government:
Stove fire means a campfire built inside an enclosed stove or grill, a portable brazier, or a pressurized liquid or gas stove, including a space-heating device
§261.5 Fire.
The following are prohibited:
(a) Carelessly or negligently throwing or placing any ignited substance or other substance that may cause a fire.
(b) Firing any tracer bullet or incendiary ammunition.
(c) Causing timber, trees, slash, brush or grass to burn except as authorized by permit.
(d) Leaving a fire without completely extinguishing it.
(e) Causing and failing to maintain control of a fire that is not a prescribed fire that damages the National Forest System.
(f) Building, attending, maintaining, or using a campfire without removing all flammable material from around the campfire adequate to prevent its escape.
(g) Negligently failing to maintain control of a prescribed fire on Non-National Forest System lands that damages the National Forest System.
[42 FR 2957, Jan. 14, 1977, as amended at 46 FR 33520, June 30, 1981; 73 FR 30307, May 27, 2008]
§261.51 Posting.
Posting is accomplished by:
(a) Placing a copy of the order imposing each prohibition in the offices of the Forest Supervisor and District Ranger, or equivalent officer who have jurisdiction over the lands affected by the order, and
(b) Displaying each prohibition imposed by an order in such locations and manner as to reasonably bring the prohibition to the attention of the public.
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§261.52 Fire.
When provided by an order, the following are prohibited:
(a) Building, maintaining, attending or using a fire, campfire, or stove fire.
(b) Using an explosive.
(c) Smoking.
(d) Smoking, except within an enclosed vehicle or building, a developed recreation site, or while stopped in an area at least three feet in diameter that is barren or cleared of all flammable material.
(e) Going into or being upon an area.
(f) Possessing, discharging or using any kind of firework or other pyrotechnic device.
(g) Entering an area without any firefighting tool prescribed by the order.
(h) Operating an internal combustion engine.
(i) Welding, or operating an acetylene or other torch with open flame.
(j) Operating or using any internal or external combustion engine without a spark arresting device that is properly installed, maintained, and in effective working order in accordance with U.S. Forest Service Standard 5100-1.
(k) Violating any state law specified in the order concerning burning, fires or which is for the purpose of preventing, or restricting the spread of fires.
[42 FR 2957, Jan. 14, 1977; 42 FR 24739, May 16, 1977; as amended at 42 FR 35959, July 13, 1977; 46 FR 33521, June 30, 1981; 77 FR 58493, Sept. 21, 2012]
CalFire is responsible for state fire laws. Federal agencies incorporate state laws where necessary as noted in (k)
(k) Violating any state law specified in the order concerning burning, fires or which is for the purpose of preventing, or restricting the spread of fires.
additional info:
§261.70 Issuance of regulations.
(a) Pursuant to 7 CFR 2.60, the Chief, and each Regional Forester, to whom the Chief has delegated authority, may issue regulations prohibiting acts or omissions within all or any part of the area over which he has jurisdiction, for one or more of the following purposes:
(1) Fire prevention or control.
(2) Disease prevention or control.
(3) Protection of property, roads, or trails.
(4) Protection of threatened, endangered, rare, unique, or vanishing species of plants, animals, birds or fish, or special biological communities.
(5) Protection of objects or places of historical, archaeological, geological or paleontological interest.
(6) Protection of scientific experiments or investigations.
(7) Public safety.
(8) Protection of health.
(9) Establishing reasonable rules of public conduct.
(b) Regulations issued under this subpart shall not be contrary to or duplicate any prohibition which is established under existing regulations.
(c) In issuing any regulations under paragraph (a) of this section, the issuing officer shall follow 5 U.S.C. 553.
(d) In a situation when the issuing officer determines that a notice of proposed rule making and public participation thereon is impracticable, unnecessary, or contrary to the public interest, he shall issue, with the concurrence of the Chief, an interim regulation containing an expiration date.
7/12/15 Edited to add this additional info:
§261.52 Fire.
When provided by an order, the following are prohibited:
(a) Building, maintaining, attending or using a fire, campfire, or stove fire.
§261.2 Definitions.
Stove fire means a campfire built inside an enclosed stove or grill, a portable brazier, or a pressurized liquid or gas stove, including a space-heating device.
http://cfr.regstoday.com/36cfr261.aspx#36_CFR_261p52