Wheat (Triticum aestivum L.), the second major food crop in Korea, is mainly cultivated in double cropping system with rice or soybean. For proper cultivation of the following crops, wheat harvesting should be completed at least in early June. Therefore, early heading and sufficient ripening period is one of the main goal for breeders to improve productivity and quality of wheat in Korea. A new recombinant inbred line (RIL) population derived from a cross between Jokyung (A high-yield, low protein content cultivar) and Joongmo2008 (A low-yield, high protein content cultivar) is constructed with a Speed vernalisation system, which is published recently. A total 184 RIL lines were cultivated and phenotyped in Miryang, during 2020-2021 season. For genotyping, 4,341 polymorphic SNP markers were selected using a 35K SNP array. Then a genetic linkage map containing 863 non-redundant markers was constructed. Three major quantitative trait loci (QTL) related to days to heading (DTH) were identified on chromosome 3A (LOD 25.0, PVE 21.6) and 7D (each two QTL showed LOD 29.0, PVE 27.3 and LOD 30.2, PVE 27.8). Two major QTLs for number of spikelet per spike (SPN) were mapped to chromosome 7D. Each QTL explained 33.2%-33.4% of the phenotypic variations. However, each two QTLs for DTH and SPN on chromosome 7D are expected to be narrowed down to one when additional markers between the gaps were analyzed. A total three QTLs for flour protein content were detected on chromosome 3A, 4A, and 6A (6.7%-18.5% of the phenotypic variance). Although all the QTLs need repeat experiment between years, use of these QTLs in breeding program would increase yield and protein content of wheat in Korean environment.