Born in Leipzig, Germany, Munckwitz immigrated to the U.S. in 1849. He maintained an active architectural practice in Harlem, New York, designing commercial buildings, office buildings and hotels, including the Keller Hotel, a New York City Landmark which was constructed from 1897-1898. He also worked as an architect on several New York City parks, including in the office of Calvert Vaux from 1862 to 1868 on Central Park designs. From 1871 to 1884, Munckwitz was the Supervising Architect and Superintendent of Parks for New York City. While in this position he designed the Boat House in Central Park with Vaux and Jacob Wrey Mould from 1872-1876. He also collaborated with Vaux and Samuel Parsons, Jr. on Riverside Park, working from the plans of Frederick Law Olmsted, Sr. Additionally he worked with Mould, Vaux and engineer Montgomery Kellogg on the plans and supervision of the construction of the massive stone retaining wall and parapet, overlook and stairways for Morningside Park from 1883 to 1892. He was a member of the New York Chapter of the AIA and elected a Fellow in 1864.