Section 603 of the United States House Rules provides for the inception
of impeachment proceedings in the House of Representatives by charges
transmitted from the legislature of a State.

Section 603 states, inter alia:
Inception of impeachment proceedings in the House.
   House of Representatives there are various methods of setting
an impeachment in motion: by charges made on the floor on the
responsibility of a Member or Delegate

(II, 1303; III, 2342, 2400, 2469; VI, 525, 526, 528, 535, 536);
by charges preferred by a memorial, which is usually referred to
a committee for examination (III, 2364, 2491, 2494, 2496, 2499, 2515;
VI, 543); or by a resolution dropped in the hopper by a
Member and referred to a committee (Apr. 15, 1970, p. 11941-42; Oct. 23,
1973, p. 34873);
by a message from the President (III, 2294, 2319; VI, 498); by
charges transmitted from the legislature of a State

(III, 2469) or Territory (III, 2487) or from a grand jury (III, 2488);
or from facts developed and reported by an investigating committee
of the House
(III, 2399, 2444).