SQL update another table with a table of data

A data update table of table B (B1 column, B2) A1, A2 column

SQL Server:

update A SET A.A1 = b.B1,A.A2=B.A2 FROM A ,B WHERE A.ID1 = B.ID1 and A.ID2 = B.ID2;
Access:

update A, B set A.A1 = B.B1,A.A2=B.B2 where A.ID1 = B.ID1 and A.ID2 = B.ID2;

--or

update A INNER JOIN B ON A.ID1 = B.ID1 AND A.ID2= B.ID2 SET A.A1 = B.B1,A.A2=B.B2;