The sole leader on first day with a round of 63, Lahiri shot even par on second and then had 75-75 on the weekend to finish.
Kapur's 69 with three birdies and one bogey saw him finish at six-under 278 for the week in tied 26th place in the only tournament on European soil to be jointly sanctioned by the Asian Tour and European Tour.
Lahiri at even par 284 was tied 57th while Gaganjeet Bhullar (77) slid to tied 62nd at two-over 286 for 72 holes.
It was also his second at the Omega European Masters at Crans-sur-Sierre.
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Extra holes were required to separate Bjorn and overnight leader Craig Lee, who struck 65 and 67 respectively on the final day.
Bjorn former made quick work of sealing victory thereafter, birdying the 18th with a fine putt that sealed his 14th victory.
Bjorn appeared to have decisively taken control after making five birdies in an outward 31.
With the Dane dropping only two shots over the first three rounds, it certainly appeared he had the necessary consistency.