Given the proximity of African swine fever (ASF) to the U.S., there is an urgent need to better understand possible dissemination pathways of the virus within the U.S. swine industry and to evaluate mitigation strategies. Here, we extended PigSpread, a farm-level spatially-explicit stochastic compartmental transmission model incorporating six transmission routes including between-farm swine movements, vehicle movements, and local spread, to model the dissemination of ASF. We then examined the effectiveness of control and eradication actions listed in the ASF national response plan. The average number of secondary infections during the first 60 days of the outbreak was 50 finisher farms, 17 nursery farms, 6 sow farms, and less than one farm in other production types. The between-farm movements of swine was the predominant route of ASF transmission with an average contribution of 71.4% to ASF dissemination, while local spread and movement of vehicles were less critical with an average contribution of 14.5% and 14.2%. We demonstrated that the combination of quarantine, depopulation, movement restrictions, contact tracing, and enhanced surveillance, was the most effective mitigation strategy, resulting in an average reduction of 74.0% of secondary cases by day 140 of the outbreak. In addition, this combination of control actions required a median of 485,138 depopulated animals, 1,634,623 diagnostic tests, and 53,648 movement permits. Our results provide a critical evaluation of the current national control and eradication actions, suggesting that the successful elimination of an ASF outbreak is likely to require the deployment of all control actions listed in the ASF national response plan for more than 140 days, as well as anticipating the resources needed for depopulation, testing, and movement permits under these controls.