In mid-January, TS Entertainment confirmed plans that B.A.P was set to make a comeback with their first full-length studio album, entitled First Sensibility. Revealed to contain a total of 13 tracks, it was also confirmed that the title track would be "1004 (Angel)", and that the group's comeback was set for February 3. Upon its release the album topped the Billboard World Album chart proving their international popularity. In Korea, First Sensibility topped both Hanteo and Gaon monthly charts for February. This album gave B.A.P their first music show victory on Show Champion with "1004 (Angel)". Then they went ahead to win two more times with "1004 (Angel)", proving the success of this song. B.A.P released their third Japanese single 'No Mercy' on April 3 and ranked second on Oricon Daily Singles Charts. They also managed to rank second on Oricon Singles weekly charts.
After successful promotions of "1004 (Angel)", B.A.P kicked off their B.A.P Live On Earth 2014 Continent Tour with a two day concert in Seoul. This was B.A.P's 2nd solo concert in Korea within only two years of debut. It is estimated that 20,000 global fans were able to enjoy the concert at real-time with B.A.P. B.A.P held a total of 23 concerts in cities throughout the United States, Asia, Australia, and Europe during this tour.
While on tour, B.A.P made a special release of a single as a gift to their fans B.A.P Unplugged 2014.
On August 11, B.A.P released their fourth Japanese single "Excuse Me". TS Entertainment announced on October 27 that they have cancelled the South American leg of the group's tour to give time off for the members to rest and recharge.
On November 27, 2014, it was reported that the group had filed a lawsuit against their label to nullify their contract due to unfair conditions and profit distribution. The following day, TS Entertainment issued a press release refuting the claims made, stating that “there have been neither such maltreatments to the artists nor unfair clauses in the contract.” However, TS Entertainment's claims were challenged when B.A.P released another statement claiming lack of accountability and the group is considering filing for defamation of character.
