Pompeo will face state Rep. Raj Goyle, winner of Tuesday's Democratic primary, in the general election. Both are from Wichita.
The winner will succeed longtime Republican Congressman Todd Tiahrt, who gave up the seat to run this year for U.S. Senate.
The 4th Congressional District includes the Wichita area and the surrounding counties, including the cities of Newton, El Dorado and Winfield.
Pompeo defeated four other Republicans on Tuesday. His closest competitors were state Sen. Jean Kurtis Schodorf of Wichita and oil company executive Wink Hartman of Rose Hill.
11:48 p.m. update
Mike Pompeo has won the GOP bid for candidacy in the U.S. House 4th District. Pompeo possessed 28,206 votes as of 11:48 for 39 percent of all votes with 492 of 570 precincts reporting.
11:08 p.m. update
Mike Pompeo continues to lead all Republicans in the U.S. House 4th District race. He has 27,519 total votes as of 11:05 p.m., which is 39 percent of all votes. Jean Kurtis Schodorf is in second with 16,663 (24 percent), barely leading Wink Hartman, who is in third with 16,002 (23 percent).
10:50 p.m. update
State Rep. Raj Goyle of Wichita has won the Democratic primary in Kansas' 4th Congressional District.
Goyle defeated Robert Tillman, a retired Sedgwick County court services officer, in Tuesday's primary.
The 4th Congressional District covers the Wichita area. The seat is being vacated by Republican Todd Tiahrt, who has represented the district since 1995 but ran this year for U.S. Senate.
Republicans had a five-person race for their party's nomination.
Goyle is giving up his seat in the Kansas House of Representatives in making his bid for Congress.
10:36 p.m. update
Goyle drops one percent of vote, falling to 80 percent of total votes. He leads Tillman 14,662-3,587.
Pompeo still owns 40 percent of votes in the Republican primary. He now has 26,566 votes.
10:21 p.m. update
Raj Goyle has 13,313 votes over Robert Tillman's 3,231 with 334 of 570 precincts reporting. Goyle has 81 percent of votes.
Mike Pompeo holds 23,735 votes to lead all other Republican candidates with 40 percent of votes. Jean Schodorf is in second with 14,189, good for 24 percent, followed by Wink Hartman with 13,016 and 22 percent.
10 p.m. update
Goyle maintains a lead over Tillman with 81 percent of votes.
Pompeo has increased his lead to 40 percent of votes over his competitors.
9:39 p.m. update
With 244 of 570 precincts reporting, Pompeo maintains a lead of 39 percent of votes.
Goyle holds 11,000 votes over Tillmans' 2,663, which is goof for 81 percent of the vote.
9:23 p.m. update
Pompeo increases lead to 39 percent, with 17,788 total votes. Schodorf still holds second place 25 percent of the vote, followed by Hartman with 22 percent with 220 of 570 precincts reporting.
Goyle maintains a large lead over Tillman with 81 percent of votes.
8:55 p.m. update
Democrat Raj Goyle leads Robert Tillman with 79 percent of votes and 81 of 570 precincts reporting.
On the GOP side, Mike Pompeo leads Jim Anderson, Wink Hartman, Paij Rutschman and Jean Kurtis Schodorf with 38 percent of the vote (10,016). Schodorf is in second with 27 percent (7,195) and Hartman is third with 21 percent (5,514).